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

Answer:

Approx. 11 ft.  See below.

Step-by-step 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.