John works for a company that cuts down dead trees for the city. He needs to determine the height of the tree to ensure safety. He chooses a point 10 m from the base of the tree. From this point, the angle of elevation to the top of the tree is 46°. Determine the height of the tree to the nearest tenth of a meter.

Answers

Answer 1

Answer:

10.4m

Step-by-step explanation:

We solve the above question using the Trigonometric function of Tangent.

The formula is given as:

tan θ = Opposite/Adjacent

θ = Angle of Elevation = 46°

Opposite = Height of the tree = x

Adjacent = Distance from the base of the tree = 10m

Hence:

tan 46 = x/10

Cross Multiply

x = tan 46 × 10

x = 10.355303138m

Approximately to the nearest tenth = 10.4m


Related Questions

A police officer recorded the speeds of 100 cars in a 50-mile-per-hour zone. The results are in the box plot shown. How many cars were going between 40 and 48 miles per hour?​ I know the answer but I need to know how to do it

Answers

Answer: 25 cars

Step-by-step explanation:

This is a box plot and it is a useful graph for showing the minimum, maximum, median and quartile values of a data distribution.

The box you see in the middle is the Interquartile range. In other words, the first line on the box is Q1 and the line at the end of the box is Q3.

The line in the middle of the box is the median or Q2.

The distance between Q1 and the median is 25%.

The number of cars between 40 and 48 miles per hour is therefore 25% of the total.

= 100 * 25%

= 25 cars

Answer:

25 cars

Step-by-step explanation:

Took the diagnostic

Meteorologists recorded a temperature change from 72˚F to 28˚F in one day. Write an equation that represents how many degrees the temperature fell.

Answers

Answer:

72-x=28 or 72-28=x

Step-by-step explanation:

A recipe for cake used 3 1/3 cups of flour. Audre has 12 1/12 cups of flour. What is the most number of cakes she can make?​

Answers

Answer:

3 cakes.

Step-by-step explanation:

12 1/2 divided by 3 1/3 gives you 3.625, then you round it off to 3.

Answer:

3 cakes hope this helps :)

One batch of cookies requires two eggs and two and a half cups of flour. How many cups of flour are needed to make three and a half batches of Cooke's?

Answers

Answer:

7 1/2

Step-by-step explanation:

Write an equation and solve. Round to the nearest hundredth where necessary.

16 is what percent of 32?


A.) 16 = n • 32; 55%

B.) 16 = n • 32; 50%

C.) 32 = 16 • n; 2%

D.) 32 = 16 • n; 42.5%

Answers

B. 16=n*32; 50%

Step by step explanation:

16 divide 32= 1/2

1/2*100= 50

Read the caption! And pls help me :))

Answers

Answer:

ASA

Step-by-step explanation:

If 2 angles and the included side of one triangle are congruent to 2 angles and the included side of the other triangle, then the triangles are congruent.

The included side is the side between the vertices of the 2 triangles.

Here

∠ S = ∠ W ( 1 angle )

∠ R = ∠ X ( 2 angles )

RS = XW ( side between the 2 angles )

Thus the 2 triangles are congruent by the ASA postulate

if you had a score of 60% how many marks out of 150 did he obtain

Answers

Answer:

90

Step-by-step explanation:

60/100=x/150

180/300=2x/300

2x=180

x=90

Answer:

90 marks

Step-by-step explanation:

10 % of 150 is 15

multiply that by 6

60% of 150 is 90

use the area of a triangle to write a formula for the area of a regular polygon and solve of the formula for height

Answers

Answer:

4

Step-by-step explanation:

find the equation of the line. use exact numbers.

Answers

Your equation is y=-2x+5. First find the slope by plugging two points into the slope equation y2-y1 over x2-x1. This then gets you the slope of -2. Then find the point where x=0, which then gets you your y intercept or the b value in the equation. With the slope as m and y intercept as b, we can find that in the equation y=mx+b with the new values plugged in y=-2x+5.

please help me i will mark brainliest!!! Rewrite as a simplified fraction 0.612 also the 12 is repeating

Answers

Answer:

= 68/111

Step-by-step explanation:

16c^2+ 18c+5
Factor Each Trinomial.

Answers

Answer:

(2c +1)(8c+5)

Step-by-step explanation:

I got my answer based off how i understood the problem.

simplify this expression 4^5/4^3

Answers

Answer:

It is 4 squared

Step-by-step explanation:

When dividing exponents it’s almost like subtraction so 4^5/4^3 is 4^2

The answer
4^5/4^3 = 4^2 =16

What is the congruence theorem used to prove that the two triangles are congruent?

Answers

Answer:

ASA

Step-by-step explanation

They have a congruent angle at the top of the triangle and they both have a right angle at the bottom. They share the same side, so this is ASA.

What is the solution to the system of equations?
4x-5y=-2
X=15-4y

Answers

34. This is because you can just use a calculator

PLEASE HELP ME I WILL GIVE YOU A BRAINILIST
A six sided die is rolled then a quadrilateral is chosen at random parallelogram ,rhombus, rectangle square and trapezoid. What is the probability of getting five quadrilateral with four congruent sides?

Answers

Answer:

1. Square

2. Rhombus

I hope I helped, if not please let me know and I will correct my answer.

Happy new year, good luck with your future studies.

Step-by-step explanation:

The probability of getting five quadrilateral with four congruent sides is,

⇒ 1 / 3

What is mean by Probability?

The term probability refers to the likelihood of an event occurring. Probability means possibility. It is a branch of mathematics that deals with the occurrence of a random event. The value is expressed from zero to one.

Given that;

A six sided die is rolled then a quadrilateral is chosen at random parallelogram ,rhombus, rectangle, square and trapezoid.

Hence, Total number of outcomes = 6

And, We know that;

Square and Rhombus have four congruent sides.

Hence, Number of possible outcomes = 2

Thus,  The probability of getting five quadrilateral with four congruent sides is,

⇒ 2 / 6

⇒ 1 / 3

Learn more about the probability visit:

https://brainly.com/question/13604758

#SPJ3

Alexander invested $320 in an account paying an interest rate of 1.5% compounded annually. Assuming no deposits or withdrawals are made, how much money, to the nearest hundred dollars, would be in the account after 18 years?

Answers

Answer:

$406.40

Step-by-step explanation:

First, converting R percent to r a decimal

r = R/100 = 1.5%/100 = 0.015 per year.

Solving our equation:

A = 320(1 + (0.015 × 18)) = 406.4

A = $406.40

what is the GCF of 6n^3, 18n^4, 36n^2

Answers

Answer:

6n^2 or 6n squared

Step-by-step explanation:

To find the greatest common factor we have to first find out all the factors for every other number.

Factors - Numbers you can multiply to find that number.

For example, we have 6n^3 what numbers can be multiplied to find that number?

For each percentage, find a matching statement to describe it. PLZ HELP!!!

Answers

1. 4
2. 3
3. 2
4. 5
5. 6
6. 1

please help nobody's been answering this is urgent!!!

find the value of x and y

Answers

Answer:

Step-by-step explanation:

Set 5x+6 equal to 7x+4 and solve for x

x=1

11+y+6=180

y=180-17 which you know

5. A broken rectangular-shaped window is
being replaced. It measures 24 inches by 187
inches. How many square inches of glass are
needed to repair the window? Draw a picture
to help.

Answers

Answer:

4488

Step-by-step explanation:

(24)(187)

I need help ASAP thanks xd​

Answers

It would be 125 you do 180 minus 55

The number of gallons used to wash dishes varies directly with the number of loads. If it takes 65 gallons to wash 5 loads. How many gallons would be needed to wash 3 loads?

Answers

Answer:

13 gallons

Step-by-step explanation:

Answer:

39 gallons

Step-by-step explanation:

We would use a simple relation here

65 gallons washes 5 loads, then

65/5 gallons will wash one load

13 gallons washes one load

Now, to find 3 loads will be

13 * 3 gallons = 39 gallons

Tanya runs diagonally across a rectangular field that has a length of 40 yards and a width of 30 yards, as shown in the diagram. What is the length of the diagonal, in yards, that Tanya runs?

Answers

Answer:

70 besarse you have to add

The first lap of an auto race is 2,500 meters. This is 10% of the total race distance. What is the total race distance?

Answers

Answer:

25,000

Step-by-step explanation:

.10(x) = 2,500

X = 2,500/(.10)

X=25,000

The length of the total race track is 25000 meters.

What is the percentage?

A percentage is a value per hundredth. Percentages can be converted into decimals and fractions by dividing the percentage value by a hundred.

Let, 'x' be the total distance.

Therefore, From the given information 10% x is 2500 meters, This can be numerically expressed as,

(10/100)×x = 2500.

0.1x = 2500.

x = 25000.

Learn more about percentages here :

https://brainly.com/question/24159063

#SPJ2

Select the correct answer from each drop-down menu.

1_____ × 10-3 is 2,000 times greater than 1.9 × 10-6. It is also
2_____ times greater than 9.5 × 10-4.

Answers

Answer:

Well, 1 is 3.8 The second one is 40,

Step-by-step explanation:

I believe 1 is 3.8, b/c 1.9*2 is 3.8, and the difference between exponents makes 3 zeros, so 2000.

The second one is 40, I confirmed this by doing .0001 to replicate 10 to the negative 4th power

By doing 9.5*.0001*40, I got the 0.038 from 1

Answer:

3.8 × 10-3 is 2,000 times greater than 1.9 × 10-6. It is also 4 times greater than 9.5 x 10-4.

Step-by-step explanation:

I started by doing 0.0000019 x 2000 and got 0.0038. If you move the decimal point 4 over you get 3.8.

EVERYONE ELSE IS WRONG!!! I got this correct on the test after retaking it, the second one is NOT 40 it is 4.

1/6 x 8 + 2/3 x 9/8 =

Answers

Answer:

A

Step-by-step explanation:

do the multiplication first

Answer:

25 /12

Step-by-step explanation:

its the first one.

I did it on math_way

What is the value of the expression below when x=4?

7x^2+8x−7

Answers

Answer:

137

Step-by-step explanation:

when x=4 , We substitute in the above equation

(7 x 4²)+(8x4)-7 = 112+25 =137

Answer : 137

Explanation: basically you plug 4 into the x spots so; 7(4)^2 + 8(4) -7

=7(16) + 8(4) -7

= 112 + 32 - 7

= 144 -7

= 137

please help im stuck on this question and its due for tomorrow please help!

rearrange y= 1/3x+1 to make x the subject

please help ill be very grateful tysm x

Answers

9514 1404 393

Answer:

  x = 3(y -1)

Step-by-step explanation:

In this, and any, "solve for ..." situation, you want to first take a look at where the variable of interest is in the equation, and what has been done to it.

Here, x is on the right side (only). It has these operations done to it:

multiplied by 1/31 added to the product

You solve for x by undoing these operations, in reverse order. As always, with any equation, you do the same thing to both sides of the equation.

__

First, we will undo "add 1". We do that by adding the opposite of 1.

  y -1 = 1/3x +1 -1 . . . . . -1 added (to both sides)

  y -1 = 1/3x . . . . . . . . . simplify

To undo the "multiply by 1/3", we can multiply by the "multiplicative inverse" (reciprocal) of 1/3. That is, we want to multiply by 3.

  3(y -1) = 3(1/3x) . . . . . multiply (both sides) by 3

  3(y -1) = x . . . . . . . . . simplify

We can leave it like this.

  x = 3(y -1)

Or, we can eliminate parentheses using the distributive property .

  x = 3y -3

These are completely equivalent equations with x as the subject.

3x + 1 = 10
Show work

Answers

Answer:

x = 3

Step-by-step explanation:

3x + 1 = 10

subtract 1 from both sides of the equation

3x + 1 - 1 = 10 - 1

3x = 10 - 1

3x = 9

divide both sides of the equation by 3

3x/3 = 9/3

x = 9/3

x = 3

Answer:

X=3

Step-by-step explanation:

3x+1=10 -> switch 1 3x = 10 - 1

3x = 9

9/3 = 3

If M is the midpoint of AB, A(-3, 4) and M(-1, 2) find the coordinates
of B.

Answers

Answer:

B(1,0)

Step-by-step explanation:

The midpoint of (a,b) and (c,d) is ((a+c)/2,(c+d)/2)

Essentially, you just average the x and y values.

So, the average of -3 and b_x is -1.

The average of 4 and b_y is 2.

So x=1 and y=0

Other Questions
What is the least common denominator of the equation 2/9x+2/3 x=7?O 309O 27O 63 Set A = 2,5, 6, 8, 11Set B= 3, 4, 6, 9, 10, 12What is the union of sets A and B? Which of these is not a rule for creating variable names?You cant begin with a number.You cant have spaces.You cant begin with a special character.You cant begin with an upper-case letter. During which phase change will two grams of waterrelease 668 joules of heat energy?A. meltingB.freezingC.vaporizationD. condensation What did Americans build when we joined World War ||? Which shows a pair of shapes that are not similar? All corresponding angles have equal measure. Determine whether the equation is true or false. Finding a SolutionWhat is the solution of the system of equations? List and explain the four social classes of Renaissance Florence A force calculated to be 25 Kg m/s2 is _______ N find the value of x if x-5=0. Why do you watch teleserye/movies? A rubber band ball weighed some amount. Fatima added two rubber bands to the ball, and now the ball weighed 88 grams. Fatima added two more rubber bands, and now the whole ball weighed 94 grams. Water that flows over land and has not been absorbed into the ground is called Help, I need to know the area of this. Math division help if can Maria's bill for lunch was $12.25. How much would her tip be if she leaves a 20% tip? A small dog weighs 6 1/2 pounds. A larger dog weighs 2 2/3 times as much as a small dog. How much does the larger dog weigh? 15 Points :pWhich of the following expressions would give a sequence with a first term of 2 and a common difference of 5? 2 - 5 n 2 n - 5 5 n - 3 5 n + 2 please help, can't understand.