1answer.
Ask question
Login Signup
Ask question
All categories
  • English
  • Mathematics
  • Social Studies
  • Business
  • History
  • Health
  • Geography
  • Biology
  • Physics
  • Chemistry
  • Computers and Technology
  • Arts
  • World Languages
  • Spanish
  • French
  • German
  • Advanced Placement (AP)
  • SAT
  • Medicine
  • Law
  • Engineering
Debora [2.8K]
3 years ago
13

A man standing near a building notices trhat the angle of elevation to the top of the buiilding is 64. he then walks 240 feet fa

rther away from the building and finds the angle of elevation to the top to be 43. how tall is the building

Mathematics
1 answer:
trasher [3.6K]3 years ago
3 0
See the picture attached to better understand the problem
 we know that
in the right triangle ABC
tan 64°=AB/AC------> AB=AC*tan 64°-----> AB=x*tan 64°---> equation 1

in the right triangle ABD
tan 43°=AB/DA----> AB=DA*tan 43°---> AB=(240+x)*tan 43°---> equation 2

equate equation 1 and equation 2
x*tan 64°-=(240+x)*tan 43°---->x*tan 64=240*tan 43+x*tan 43
x*[tan 64-tan 43]=240*tan 43-----> x=240*tan 43/[tan 64-tan 43]
x=200.22 ft

AB=x*tan 64----> AB=200.22*tan 64-----> AB=410.51 ft

the answer is
410.51 ft

You might be interested in
Order of operations 5-2(5-27)+5
Artist 52 [7]

<em>The answer to your question would be 54</em>

<em />

<em>Work Shown:</em>

<em />

<em>5-2(5-27+5</em>

<em>Calculate with parenthesis (5-27): -22</em>

<em>5-2(-22)+5</em>

<em>Multiply and divide (left to right) 2(-22): -44</em>

<em>5-(-44)+5</em>

<em>Add and subtract (left to right) 5-(-44)+5</em>

<em>54</em>

3 0
2 years ago
How to solve for W because I honestly don’t understand anything
erastova [34]

we do 2x-1/y=w+2/2z

2x-1/y we multiple each side y

2x-1/y×y=2x-1

then w+2/2z

we said×2z×2z

then we got

w+2

later

2x-1=w+2=

then 1 become another side

which is 1+2=3

then

w=3-2x

I hope it's correct

4 0
3 years ago
Read 2 more answers
315% is what of 82.53
Aloiza [94]
315% is roughly 0.0382 of 82.53.
On the other hand, 315% of 82.53 is 259.9695 .
8 0
3 years ago
Read 2 more answers
Y intercept of points (3,5) and (7,8)
frosja888 [35]

Answer:

positive

Step-by-step explanation:

6 0
3 years ago
A baby’s t-shirt requires 2/9 yards of fabric. How many t-shirts can be made from 38 yards?
Bess [88]
8 4/9 hope this helps!!!
3 0
3 years ago
Other questions:
  • Liam has about pounds of steak remaining after the cookout
    6·1 answer
  • - 3+ 8(2 - 12r) <br>how do you solve this problem​
    5·1 answer
  • What is the probability of rolling an odd number with one roll of a number cube​
    10·2 answers
  • Please help me please
    11·1 answer
  • 9s+3=57<br> Z/5+3=-35<br> 7(c-12)=-21
    14·1 answer
  • ABCD is a parallelogram, find the value of y
    11·1 answer
  • Jane works at The Bottling Company. She needs to put 8,500 bottles of water into cases. So far she has put 2,136 in cases. How m
    15·1 answer
  • Which of the following relations represent a function?
    5·2 answers
  • If you are good at math please help with both questions
    10·1 answer
  • An airliner has 40 rows of seats. Each row has 2 seats on one side, 3 seats in the middle and 2 seats on the other side. How man
    7·2 answers
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!