The diagram shows a 6 ft student standing near a tree. The shadow of the student and the shadow of the tree ends at point A. What is the height of the tree?
Answers
Answer: 18ft
Step-by-step explanation: I took the quiz and got 100%
The height of the tree is 8.3 ft.
To solve this problem, we have to find the angle of elevation from the student.
To do this, we have to assume or bring out a right angle triangle and solve for the.
Given that we have the distance of A to F and the point to F
A to F = 5ftE to F = 6angle ?Trigonometric RatioUsing trigonometric ratio,
We can find the tangent of this angle
[tex]tan\theta = \frac{opposite}{adjacent} \\tan\theta = \frac{6}{5}\\ tan \theta = 1.2\\\theta = tan^-^1(1.2)\\\theta = 50.2^0[/tex]
The angle of elevation can be calculated using sum of angles in a triangle is equal to 180 degrees
[tex]180 = 90 + 50.2 + x\\x = 180- 140.2\\x = 39.8^0[/tex]
Assuming a right angle triangle from the point the student is standing, the distance from him to the tree would be
[tex]15 - 5 = 10ft[/tex]
Let's use the tangent of the angle to find the height of the tree.
[tex]tan\theta = \frac{opposite}{adjacent} \\tan 39.8 = \frac{x}{10}\\x = 10 tan39.8\\x = 8.3ft[/tex]
From the calculations above, the height of the tree is 8.3 ft.
Learn more on trigonometric ratio here;
https://brainly.com/question/10417664
Related Questions
What is the product of (3to the square root of 8)(4 to the square root of 3)? Simplify your answer
Answers
Answer:
A. [tex] 24\sqrt{6} [/tex]
Step-by-step explanation:
Given:
[tex] (3\sqrt{8})(4\sqrt{3}) [/tex]
Multiply both together as shown below:
[tex] (3*4*\sqrt{8}*\sqrt{3}) [/tex]
[tex] 12\sqrt{24} [/tex]
[tex] 12\sqrt{4*6} [/tex]
[tex] 12*\sqrt{4} * \sqrt{6} [/tex]
[tex] 12*2 * \sqrt{6} [/tex]
[tex] 24* \sqrt{6} [/tex]
[tex] 24\sqrt{6} [/tex]
Given the following function
y = -1/2 (x-2)2+3
Find the vertex, y-intercept, and x intercepts.
Answers
Can someone help me with this question pls and thank you
Answers
Answer:
x>2
Step-by-step explanation:
Longer than two hours is >.
2 /8 The Math Club’s spring banquet was a huge success, and Ray and Aletha are calculating the tip. The total bill was $360. What is the amount of tip that Ray and Aletha if they leave a 20% tip? $50 $542 $72 $56
Answers
Answer:
$72
Step-by-step explanation:
im guessing
which expression represents the products of a and b decresed by 9?
Answers
Answer:
(a × b) - 9
Step-by-step explanation:
The product of a and b basically just means a being multiplied by b and then decreased by 9 just means to subtract that by 9.
I hope this helps you :D
please help me :)))))
Answers
Answer:
12 touchdowns
Step-by-step explanation:
129 / 10.75 = 12
I hope I helped!!
let t=number of touchdowns
your equation would be 10.75t=129
to do this, you would divide both sides of the equation by 10.75 to eliminate it from the t on the left side, leaving you with t=12. hope this helps!
Is y=2/3x+5 proportional or non-proportional
Answers
9514 1404 393
Answer:
non-proportional
Step-by-step explanation:
The "+5" means that y is not zero when x is zero. A proportional relation has no added constant. It is of the form ...
y = kx
The relation is non-proportional.
PLEASE ANSWER ASAP!! Will give brainliest!!
Answers
Alberto makes fruit punch with 24.2 ounces of apple juice and 18.4 ounces of pineapple juice. He splits the fruit punch equally into 6 glasses.
How much fruit punch is in each glass?
Answers
Answer:
7.1
Step-by-step explanation: i took the quiz
PLEASE HELP ME OLEASE UT URGENT !
Answers
Explanation:
m = (y1 - y)/(x1 - x)
y1 = 50, y = 90
x1 = 2, x = 4
m = (50 - 90)/(2 - 4)
m = -40/-2
m = 20
b is the y intercept = 50
So our equation is written as:
y = 20x + 50
Sam and Jane split the cost of one sandwich and two bottles of water. The sandwich cost $4.50 and EACH bottle of water cost $1.25. How much did each person pay? (Multiple Step Problem) * 10 points
Answers
Answer:
3.50
Step-by-step explanation:
1.25 x 2 = 2.50
2.50 + 4.50 = 7
7 / 2 = 3.50
Hope this helps!
Will give brainliest if you can answer at least one of these, or tell us how to do them
Answers
See the attached picture
The two-way frequency table below shows data on whether Karissa had an ice cream cone and whether the day was during the week or on the weekend. Complete the following two-way table of column relative frequencies. (If necessary, round your answers to the nearest hundredth.) Weekday Weekend Had an ice cream cone 232323 454545 Did not have an ice cream cone 155155155 666 Weekday Weekend Had an ice cream cone Did not have an ice cream cone Column total 1.001.001, point, 00 1.001.001, point, 00
Answers
Answer:
Answers below
Step-by-step explanation:
0.13 0.88
0.87 0.12
Hope this helps!
The two-way column relative frequency table is,
Weekday Weekend
Had an ice cream cone 0.29 0.88
Did not have an ice - 0.87 0.11
cream cone
Total 1.00 1.00
What is two-way frequency table?"It is a way to display frequencies for two categorical variables."
"One category is represented by rows and a second category is represented by columns."
Now, We need to find the column relative frequency table.
First we find the total of each column.
Weekday Weekend
Had an ice cream cone 23 45
Did not have an ice - 155 6
cream cone
Total 178 51
Now, divide each element of column by its respective total.
Weekday Weekend
Had an ice cream cone 23/178 45/51
Did not have an ice - 155/178 6/51
cream cone
Total 178/178 51/51
Therefore, the two-way column relative frequency table would be,
Weekday Weekend
Had an ice cream cone 0.29 0.88
Did not have an ice - 0.87 0.11
cream cone
Total 1.00 1.00
Learn more about relative frequency table here:
brainly.com/question/12576014
#SPJ3
1. Elijah's puppy weighs 35 ounces. If he weighed 20 ounces at the last visit to the veterinarian's office, what is the percent increase in the
puppy's weight?
The percent increase is type your answer...
Answers
Answer:
75 percent
Step-by-step explanation:
percent increase = increase/original ×100
= (35-20)/20 ×100 =15/20 ×100= 15×5= 75
Two equivalent fractions for 2/3
Answers
Answer:
2/3 = 2×4 / 3×4 = 8/12 which is an equivalent fraction of 2/3. Similarly, if we divide the numerator and denominator of 12/18 by 6 we get. 12/18 = 12÷6 / 18÷6 = 2/3. So 12/18 is an equivalent fraction of 2/3 as well.
Step-by-step explanation:
If X-1 = 8, what justifies x - 1 = 16?
2
F Subtraction Property of Equality
G Division Property of Equality
H Transitive Property of Equality
J Multiplication Property of Equality
Answers
Answer:
I think G Division Property of Equality
10+20=2(5+___what that’s all I need help on this please
Answers
Translate the sentence into an equation.
Twice the difference of a number and 5 is 8.
Use the variable x for the unknown number.
Answers
To solve, you use the distributive property as shown below!! :)
2x - 10 = 8
2x = 18
x = 9
Hope this helped you :)
Jack and mic moment jack charges three dollars per hour plus a $10 equipment fee mike charges eight dollars per hour but does not charge and equipment be there charges are shown on the graph after how many hours of knowing is jack and mikes charge the same
NEED ANSWERS NOW!
Will mark you Brainlist!
Answers
Answer:
15
Step-by-step explanation:
step by step
Given that sin 42° ≈0.669, enter the cosine of a complementary angle.
Answers
Answer:
0.01167
Step-by-step explanation:
180 - 0.669 = 89.331
complementary angle = 89.331
cos(89.331) = 0.01167
Select the correct answer
Answers
Answer:
1/25x
Step-by-step explanation:
This is easy but hard for me can someone help me ASAP please
Answers
Answer:
u have them all selected
Step-by-step explanation: but i thnk the answer is -3 and -1
Need help ASAP
Which number line correctly shows -3 - -1.5?
Answers
Answer:
The top one I'm pretty sure.
Math homework sucks...
Empire star Terrence Howard was paid $1.25 * 105 per episode filmed in season one. If Empire filmed 12 episodes in the first season, how much total salary did Terrence Howard earn?
Answers
Answer:
Terrence would have earned $1575 dollars
Step-by-step explanation:
First we multiply 1.25 by 105.
1.25 * 105 = 131.25
Next we multiply 131.25 by 12.
131.25 * 12 = 1575.
So, the answer is 1575.
Hope this helps! :)
$1575 dollars. (Hope this helps)
8r - 4 (7r - 5) this is the question im struggling with
Answers
i am pretty sure the answer is:
= -20r + 20
Evaluate k + 26 when k = 10
Answers
Step-by-step explanation:
When k = 10
Then
k + 26
= 10 + 26
= 36
Hope it will help :)
Answer:
36
Step-by-step explanation:
k = 10
k + 26 =
10 + 26 =
36
This graph shows which inequality?
t ≥ –4
t > –4
t ≤ –4
t < –4
Answers
Answer:
C) t<=-4
Step-by-step explanation:
what is the answer? I need it now
Answers
The answer is a:
It's the only one that cannot be simplified. A number that will divide evenly into both the numerator and denominator so it can be reduced, or The numerator must be greater than the denominator, (an improper fraction), so it can be converted to a mixed number.
(I was a teensy bit confused from last time's answer, because it said select the CHOICES below sooo...)
Match each equation to a step that will help solve the equation.
Eqautions: Numbers:
1) Multiply each side by 5.
2) Multiply each side by -5.
3) Multiply each side by 1/5.
4) Multiply each side by -1/5.
A) 5x= 0.4
B) x/5=8
C) 3 = -x/5
D) 7 = -5x
Answers
2 and C
3 and A
4 and D
B) x/5 = 8 — 1) Multiple by 5
C) 3 = -x/5 — 2) Multiple by -5
D) 7 = -5x — 4) Multiple by -1/5
Explanation:
A:
5x = 0.4
5x • 1/5 = 0.4 • 1/5
x = 2/25 or 0.08
B:
x/5 = 8
x/5 • 5 = 8 • 5
x = 40
C:
3 = -x/5
3 • -5 = -x/5 • -5
-15 = x
x = -15
D:
7 = -5x
7 • -1/5 = -5x • -1/5
-7/5 = x
x = -7/5 or -1.4
Hope it helps!
Carmen runs 6 miles in 50 minutes. At the same rate, how many miles would she run in 35 minutes?
Answers
Answer:
4.2 miles
Step-by-step explanation:
6 miles/50 minutes = x miles/35 minutes
1. Since 5 is the GCF (greatest common factor) of x and 35, that is what the ratio must first be converted into, by dividing by 10: 6/50 = 0.6/5
2. To convert this to 35 minutes, it must be multiplied by 7, because 5 * 7 = 35. This leaves us with the answer:
0.6/5 = 4.2 miles/35 minutes