Question

In triangle RST, the measure of angle T=90°, the measure of angle R=82°, and TR=44 feet. Find the length of ST to the nearest tenth of a foot.

Answer 1

`x=6.183ft`

Explanation:

From the question we are told that:

Angel of side
`T=90`

Angel of side
`R=82`

Length Side
`TR=44`

Generally the equation for Angle of side ST
`\theta` is mathematically given by

Since Angle in Triangle =180 therefore

`\theta=180-(90+82)`

`\theta=8`

Therefore Applying sine rule to get Length of ST x

`(x)/(sin\theta)=(TR)/(sin82)`

`x=(44)/(sin82)*sin8`

`x=6.183ft`