From where Kiana is standing she must look up at a 50° angle to see the top of a building she backs up 50 feet she will need to

Question

3 years ago

11

look up a 40° angle to see the top of the same building approximately how tall is the building

2 answers:

ElenaW [278] · Answer 1 · 2022-10-07T06:44:53+03:00

For this case, what we must do is solve the following system of equations: tan (50) = h / x tan (40) = h / (x + 50)

Solving the system we have: (x + 50) * tan (40) = h (x) * tan (50) = h

Matching: (x + 50) * tan (40) = (x) * tan (50)

Rewriting: x (tan (50) - tan (40)) = 50 * tan (40) x = 50 * tan (40) / (tan (50) - tan (40)) x = 118.9692621

Substituting: h = (x) * tan (50) h = (118.9692621) * tan (50) h = 141.7820455

B. 141.8ft

hichkok12 [17] · Answer 2 · 2022-10-07T04:48:35+03:00

hichkok12 [17]3 years ago

4 0

I would say approx 110ft. I’m not certain.

I hope this helped!

I would appreciate it if you gave me a Thanks and a brainliest (: