Trig Equations and Identity

Question

The angle of elevation to the top of a Building in New York is found to be 4 degrees from the ground at a distance of 2 miles from the base of the building. Using this information, find the height of the building. Round to the tenths. Hint: 1 mile = 5280 feet

Your answer is ____ feet

Answer 1

Well height/distance = tan 4^°

So height in miles = 2 tan 4^°, so height in feet = 2 x 5280 x tan 4°

(make sure your calculator is set to degrees not radians)