Question

From her eye, which stands 1.69 meters above the ground, Penelope measures the angle of elevation to the top of a prominent skyscraper to be 16∘. If she is standing at a horizontal distance of 200 meters from the base of the skyscraper, what is the height of the skyscraper? Round your answer to the nearest hundredth of a meter if necessary.​

Answer 1

Answer: 59.04

Step-by-step explanation:

tan 16= x/200

tan16/1=x/200  

200 tan 16=x  

x=57.349077...

x=57.349077...

Add 1.69, the distance from the ground to her eye:

57.349077...+1.69= 59.039077...

≈   The skyscraper is 59.04 meters tall.