Question

In ARST, the measure of ZT=90°, the measure of ZR=39°, and TR = 55 feet.

Find the length of ST to the nearest tenth of a foot.

Answer 1

ST = 44.5 feet

Explanation:

sing SOH CAH TOA to solve the problem;

Given

m<T = 90

m<R = 39 degrees

TR = 55feet

Required

ST = opposite to m<R

TR is the adjacent

tan theta = opp/adj

tan m<R = ST/TR

tan 39 = ST/55

ST = 55tan39

ST = 55*0.8098

ST = 44.5 feet