Question

an ant is looking up at you with an angle of evevation of 24°.You are 5 feet tall. how far is the ant from your foot ?

Answer 1

Approx. 11 ft. See below.

Explanation:

The tangent function is the easiest tool to use here. tan 24 degrees = opp / adj = (5 ft) / x. We are to find x. Multiplying both sides of this equation by x, we get x * tan 24 degrees = 5 ft. Thus, x = (5 ft) / (tan 24 degrees) = 11.23 ft, or approx. 11 ft.