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.

what are you trying to solve here

step-by-step explanation:

step-by-step explanation :

we know that

the measurement of the outer angle is the semi-difference of the arcs which comprises

in this problem

m< xzy is the outer angle

substitute the values

the measure of angle xoy is equal to

> by central angle

substitute the value