Let 0 represent the smaller of the acute angles of a right triangle such that tan0 = 0.75. The longer leg of the right triangle measures 10 feet. What is the length of the shorter leg?

Length of shorter leg = 7.5 ft

Step-by-step explanation:

It is given as,

tan 0 = 0.75

tan ratio is given as opp / adj

Let us consider the opp. side is the shorter leg and the adj side is the longer leg.

tan 0 = Opp / adj = x / 10

x/10 = 0.75

x = 0.75 * 10 = 7.5 ft

So length of the shorter leg is 7.5 ft.