Question

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

Answer 1

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

Answer 2

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 (: