Question

The angle of elevation to the top of a Building in New York is found to be 10 degrees from the ground at a distance of 1 mile from the base of the building. Using this information, find the height of the building in miles, correct to 3 decimal places.

Please hurry timed test

Answer 1

Tan angle = opposite leg / adjacent leg

Tan(10 degrees) = height of building / 1 mile

Height of building = 1 mile x tan(10 degrees)

Height of building = 0.1763

Rounded to 3 decimal places = 0.176 miles