Question

A man standing on a sidewalk looks up at the roof edge of a building. The building is 40 feet tall and the man stands 12 feet from the building.

What is the measure of the man's angle of inclination from where he stands?



Enter your answer, rounded to the nearest degree, in the box.

Answer 1

We have a triangle with bottom length of 12 feet and a height of 40 feet. We can apply sohcahtoa here. Since we have the opposite side and adjacent side we use toa. tan(theta)=opposite/adjacent=40/12 tan(theta)=3.33 repeating theta=arctan(3.33) theta=73.28 degrees.

Answer 2

If its rounded it would be 73 degrees