Question

In ARST, the measure of ZT=90°, the measure of ZR=64°, and RS = 58 feet. Find

the length of ST to the nearest tenth of a foot.
s
5-8

Answer 1

The length of ST to the nearest tenth of a foot is 5.2 ft
Explanation:
Here we have
∡T = 90°
∡R = 64°
RS = 5.8 ft
To answer the question, we have apply sine rule as follows;

Therefore, for triangle RST, we will have;

Therefore;
from which

Therefore, the length of ST to the nearest tenth of a foot = 5.2 ft.