Question

In ΔRST, the measure of ∠T=90°, the measure of ∠R=64°, and RS = 5.8 feet. Find the length of ST to the nearest tenth of a foot.

Answer 1

Answer: 53 degrees

Explanation:

Answer 2

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;

`(a)/(Sin\alpha ) = (b)/(sin\beta ) = (c)/(sin\gamma)`

Therefore, for triangle RST, we will have;

`(RS)/(SinT ) = (ST)/(sinR ) = (RT)/(sinS)`

Therefore;

`(5.8)/(Sin90 ) = (ST)/(sin64 )` from which

`{ST}{ } = (5.8 * sin64)/(Sin90 ) = 5.213 \, ft`

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