the angle of elevation to the top of a 15-story skyscraper is measured to be 4 degrees from a point on the ground 2,500 feet from the building. What is the height of the skyscraper to the nearest hundredth foot? A. 83.13 feetB. 174. 82 feetC. 96.49 feet174. 39 feet
Accepted Solution
A:
Set up a right triangle The base will be 2,500 feet and the angle where the hypotenuse meets the base will be 4 degrees The height is your x value, tan4=x/2,500 Multiply both sides by 2500 2500tan4=x x=174.817 The answer is B