Two buildings are facing each other on a road of width 12 metre . From the top of the first building, which is 10 metre high , the angle of elevation of the top of the second is found to be 60°. What is the height of the second building ?
So easy question
Can u people solve ?
I dont think so
Answers
Answer:
[tex]\displaystyle 10 + 12\sqrt{3}[/tex] metres
Step-by-step explanation:
You are finding the height of the building with an angle of elevation, therefore we need to solve for EC to add it to BA [10 metres] and use TRIGONOMETRIC RATIOS to arrive at our conclusion. Just in case you have forgotten what they were, here they are:
[tex]\displaystyle \frac{OPPOSITE}{HYPOTENUSE} = sin\:θ \\ \frac{ADJACENT}{HYPOTENUSE} = cos\:θ \\ \frac{OPPOSITE}{ADJACENT} = tan\:θ \\ \frac{HYPOTENUSE}{ADJACENT} = sec\:θ \\ \frac{HYPOTENUSE}{OPPOSITE} = csc\:θ \\ \frac{ADJACENT}{OPPOSITE} = cot\:θ[/tex]
We can now solve for EC:
[tex]\displaystyle cot\:60 = \frac{12}{EC} → ECcot\:60 = 12 \\ \\ \frac{ECcot\:60}{cot\:60} = \frac{12}{cot\:60} → 12\sqrt{3} = EC[/tex]
OR
[tex]\displaystyle tan\:60 = \frac{EC}{12} → 12tan\:60 = EC → 12\sqrt{3} = EC[/tex]
Now that you have solved for EC, you can now add it to your original 10 metres to get [tex]\displaystyle 10 + 12\sqrt{3}[/tex] metres. As a decimal, you would get [tex]\displaystyle 30,78460969...[/tex] metres. You can go ahead and round this off if necessary.
** The reason why the cotangent [or tangent] ratio was used was because EA is equivalent to DB by the definition of a rectangle. It has two pairs of parallel and congruent sides with four right angles. Plus, that is the adjacent side of the triangle, while EC is the opposite side of the triangle, so we knew our ratios were correct.
I am joyous to assist you at any time.
Related Questions
verify the identity
[tex]cot(x-\frac{\pi }{2} )[/tex] = - tan x
please show all steps
Answers
Answer:
Step-by-step explanation:
[tex]\tan (x-\frac{\pi }{2} )=\frac{tan~x-tan~\frac{\pi }{2} }{1+tan~x~tan~\frac{\pi }{2} } \\or~\cot(x-\frac{\pi }{2} )=\frac{1+\tan~x~\tan\frac{\pi }{2} }{\tan~x-\tan~\frac{\pi }{2} } \\divide~the~R.H.S. ~by~\tan ~x~\tan~\frac{\pi }{2} \\=\frac{\cot~x~\cot~\frac{\pi }{2} +1 }{\cot~\frac{\pi }{2} -\cot~x} \\\cot\frac{\pi }{2} =0\\\cot(x-\frac{\pi }{2} )=\frac{\cot~x ~\times~0+1}{0-\cot~x} \\\cot~(x-\frac{\pi }{2} )=-\frac{1}{\cot~x} =-\tan~x[/tex]
solve for x
this is really difficult
Answers
Answer:
all the angles in a triangle will add to 180
65 + 57 + 2x = 180
subtract the 65 and 57 from both sides
2x = 58
x = 29
D) 29
hope this helps :)
Step-by-step explanation:
Answer: x=29
Step-by-step explanation:
In a triangle, the sum of the measures of all angles is 180 degrees.
Therefore, we can add up all the angles in this triangle, setting them equal to 180:
65+57+2x=180
Using the equation above, solve for x:
Simplify:
122+2x=180
Subtract 122 from both sides:
(122+2x)-122=180-122
Simplify:
2x=58
Divide both sides by 2:
2x/2=58/2
Simplify:
x=29
A = {3, 5, 7, 9} and B = {1, 2, 4, 6, 7, 9}
Find the intersection: A Intersects withB.
{7, 9}
{1, 2, 3, 4, 5, 6, 7, 9}
{1, 3, 5}
{2, 4}
Answers
Answer:
A∩B={7,9}
Option A is correct option.
Step-by-step explanation:
We are given:
A = {3, 5, 7, 9} and B = {1, 2, 4, 6, 7, 9}
and we need to find A intersects with B i.e. A∩B
We find A intersects with B, we will consider only those terms that are common in both A and B
So,
A∩B= {3, 5, 7, 9} ∩ {1, 2, 4, 6, 7, 9}
As 7 and 9 are only common in both A an B
A∩B={7,9}
So, we get: A∩B={7,9}
Option A is correct option.
What is the perimeter
What is X=
Answers
Answer:
Step-by-step explanation:
Perimeter = 5+x+5+x = 10 + 2x
10 +2x = 120
2x = 110
x = 55
Explain why -6, -3, 0, 3, and 6 were selected for the x-values in the table.
Answers
Answer:
you need a wide range of values in order to draw an accurate line ideally values that are not to close to each other
HELP URGENT WILL GIVE BRAINLIEST
Answers
Answer:
A. parabola I believe that is the answer
Translate the following word phrase into an algebraic expression: six times four less than three times x
Answers
Answer:
Step-by-step explanation:
6(3x - 4)
Answer:
6(3x-4) this is the correct answer
the base Dimensions of a rectangular box are 1.5×10 to the second power centimeters by 4.3×10 to the first power centimeters find the base area of the box right answer and say scientific notation and round coefficients to the nearest
Answers
Answer:
[tex]Area = 6.5 * 10^3cm^2[/tex] or [tex]Area = 6.5E3\ cm^2[/tex]
Step-by-step explanation:
Given
[tex]Width = 1.5 * 10^2cm[/tex]
[tex]Length = 4.3 * 10^1cm[/tex]
Required
Determine the Area
The base area is calculated as:
[tex]Area = Length * Width[/tex]
[tex]Area = 1.5 * 10^2cm * 4.3 * 10^1 cm[/tex]
Reorder the expression
[tex]Area = 1.5 * 4.3 * 10^1 cm* 10^2cm[/tex]
[tex]Area = 6.45 * 10^1 cm* 10^2cm[/tex]
Apply law of indices
[tex]Area = 6.45 * 10^{1+2}cm^2[/tex]
[tex]Area = 6.45 * 10^3cm^2[/tex]
Approximate
[tex]Area = 6.5 * 10^3cm^2[/tex]
or
[tex]Area = 6.5E3\ cm^2[/tex]
Given that 2 + h − 4 = 0 has no roots. Find the ranges of value of .
Answers
Answer:
here is your answer.....
Step-by-step explanation:
2 + h - 4 = 0
LHS:
2 - 4 + h
-2 + h
Therefore:
-2 + h = 0
h = 0 - 2
h = - 2
SO,
the value of h is -2
Q1:The number of students in a chess club decreased from 23 to 13. What is the percent decrease? Round your answer to the nearest percent.
The percent decrease is ? %.
Q2:The price of a pair of shoes increases from $68 to $81. What is the percent increase to the nearest percent?
The percent increase is ? %.
Answers
Answer:
Step-by-step explanation:
23 x .565 = 12.995
12.995 rounded is 13.
So if the answer is .565, and you need to round to the nearest percent, it would be 57%.
Answer:
Step-by-step explanation:
1) Decreased students = 23 -13 = 10
Decreased percentage = [tex]\frac{10}{23}*100[/tex]
[tex]= \frac{1000}{23}\\\\= 43.47[/tex]
= 43%
2) Increased amount = 81 - 68 = $ 13
Increased percentage = [tex]\frac{13}{68}*100[/tex]
[tex]= \frac{1300}{68}\\\\= 19.11[/tex]
= 19%
Charlotte's friend Tiana is making beignets to sell at Mardi Gra. Tiana has 6 bags of powdered sugar. Each beignet requires 1/4 bag of sugar How many beignets can Tiana make?
Answers
Answer:
Tina will be able to sell 24 beignets
Express 36 minutes as a fraction of an hour. 36 minutes= _____hours
Answers
Answer:
6/10 hours
Step-by-step explanation:
36 minutes/ 60 minutes
divide by 6 on both sides
36/6= 6 60/6=10
6/10 hours
probably bad explaining but hope this helps :)
Question from ucscout need help asap
Answers
Answer:
A.S.A congurency.
please mark me brainliest and follow me my friend.
PLEASE HELP!
Solve.
(6√6)^-x+3 = 1/6 x 216^2x-3
Answers
Answer:
x= 29/15
Step-by-step explanation:
Consider WXY and BCD with X= C, WX = BC, and WY = BD. Can it be concluded that WXY = BCD by SAS?
Answers
Answer:
nswer:- B. No, because the corresponding congruent angles listed are not the included angles. Given:- ΔWXY and ΔBCD with ∠X ≅∠C, WX ≅ BC, and WY ≅ BD. We can see that ∠X and ∠C are not included angles by the corresponding equal sides.
Answer:
Yes
Step-by-step explanation:
I will write it in the form of a theorem
Given:
X=C; WX=BC;WY=BD
To prove:
WXY = BCD
Proof:
X=C (This is a angle)
WX=BC
WY=BD
Since there is an angle between two equal side for both triangle WXY is congruent or '=' BCD ny SAS.
Are the triangles similar?
These triangles are not similar.
These triangles are similar by AA.
These triangles are similar by SAS.
These triangles are similar by SSS.
Answers
Answer:
These triangles are not similar I think
Hi there! Let's solve this problem step by step. :)
We have two triangles, QRP and XYP. You're given a few values.
It is given that QR = 16. QP = 6 + 18. RP = 5 + 15. Go ahead and add those.
QR = 16, QP = 24, RP = 20.
Now XYP!
XY = 12. YP = 15. XP = 18.
If you know the corresponding parts between these triangles--they should be QR to XY, QP to YP, and RP to XP. Those are 16/12, 24/15, and 20/18. Divide those.
You get 1.3333, 1.6, and 1.1111. Your turn! Are they similar?
[P.S., if you're confused about the AA/SAS/SSS similarity postulates, that just means the sides they have in common. You're not given any angle measurements, so SAS (side angle side) is out. SSS is possible, but since the ratios aren't equivalent, SSS is out. Again, AA (angle-angle) isn't possible because you're not given any angle measurements.)
That's it! :)
Good day, friend.
Please help!!!!!!!!!!
Answers
Answer:
By hypotenuse - side test (HL) the two triangles are congruent.
Step-by-step explanation:
In ∆ABC and ∆DCB
i) angleABC = angleDCB.....(each 90°)
ii) BC = BC .....( common side)
iii) AC = DB.....(given)
therefore by hypo-side test ∆ABC congruent ∆DCB
Answer:
HL
Step-by-step explanation:
∠B ≅ ∠C = 90°
AC = DB {Given and they are hypotenuse}
BC = CB {Reflexive property}
ΔABC ≅ ΔDCB {HL congruent}
Can anyone help??
Thx if you can!
Answers
For what value of the number k is the following function differentiable at x=2
f(x) = {2x + 1 if x<2
k x=2
3x-1 x>2}
Answers
Answer:
For f(x) to be differentiable at 2, k = 5.
Step-by-step explanation:
For f(x) to be differentiable at x = 2, f(x) has to be continuous at 2.
For f(x) to be continuous at 2, the limit of f(2 – h) = f(2) = f(2 + h) as h tends to 0.
Now,
f(2 – h) = 2(2 – h) + 1 = 4 – 2h + 1 = 5 – 2h.
As h tends to 0, lim (5 – 2h) = 5
Also
f(2 + h) = 3(2 + h) – 1 = 6 + 3h – 1 = 5 + 3h
As h tends to 0, lim (5 + 3h) = 5.
So, for f(2) to be continuous k = 5
An airplane travels at a constant speed of 575 miles per hour write and equation that can be used to determine
Answers
Answer:
ok so you need to just do
Step-by-step explanation:
y x 575 = 575
constant
Jada solved the equation -g - 108 for x using the steps below. What was Jada's error?
Answers
Answer: Choice A) Jada should have multiplied both sides by 108.
Reasoning:
x is a placeholder for some unknown value. We are dividing x by 108 to form the fraction x/108. To isolate x, we need to undo this operation. So we need to multiply both sides by 108. Doing so leads to the solution x = -48.
k/2 - 5k + 3 =4 solve
Answers
Answer:
k=0
Step-by-step explanation:
/2-5K+3=4
We move all terms to the left:
/2-5K+3-(4)=0
determiningTheFunctionDomain
-5K+3-4+/2=0
We add all the numbers together, and all the variables
-5K-1+/2=0
We multiply all the terms by the denominator
-5K*2-1*2+=0
We add all the numbers together, and all the variables
-5K*2=0
Wy multiply elements
-10K=0
K=0/-10
K=0
what part of the circle is shaded?
Answers
Answer:
part a if that's what you mean
Step-by-step explanation:
The range of the integers 20, 6, 18, -15, -12 is
a) 20
b) 35
c) -25
d) -15
Answers
Answer:
B. 35
Step-by-step explanation:
The range of a set of numbers is the difference between the highest and lowest numbers in the set.
1. Find the highest and lowest numbers from the set. Arranging them from least to greatest can make this easier.
-15, -12, 6, 18, 20
The lowest number is -15 and the highest is 20.
2. Subtract these two numbers to find the range.
20 -- 15
Two minus signs like that make a positive, so it becomes an addition problem.
20 + 15 = 35
Answer is b.
I also think the right option is B)- 35
Use the Associative Property to write an expression equivalent to(4x + y) + 8
Answers
JJ purchases almonds in bulk at the supermarket. Which best describes the slope of the line graphed?
Answers
Answer: D
Step-by-step explanation:
(WILL MARK BRAINLIST)
on a road trip to wisconsin, Lisa and Gavin drove for 3 hours. they traveled 180 miles in that amount of time. What was their rate or speed (miles PER hour)?
Answers
Answer:
60
Step-by-step explanation:
180 divided by 3 is 60 so its 60mph
Answer:
60 miles per hour
Step-by-step explanation:
To get the mph, you have to divide the miles traveled by the time, so 180 divided 3 = 60 mph.
(hope this helps!)
Adam is working two summer jobs, making $9 per hour washing cars and $8 per hour walking dogs. Last week Adam earned a total of $116 and worked 6 more hours walking dogs than hours washing cars. Determine the number of hours Adam worked washing cars last week and the number of hours he worked walking dogs last week.
.
Answers
6 hours walking dogs
9x+8y=116
Y=x+4
It snowed from 9:43 PM to 11:37 PM. How long was it snowing?
Answers
Answer:
1 hour and 54 minutes and ignore this stuff sjsjsbdbsj
Answer:
An hour and 54 minutes lol
Step-by-step explanation:
Can you help me with a question?
Answers
Answer: I think it s 8
Step-by-step explanation:
5 + 7 + 5 + 7 = 24 and 24/3 = 8