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

Answer:

$x=6.183ft$

Step-by-step 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

 $\frac{x}{sin\theta}=\frac{TR}{sin82}$

 $x=\frac{44}{sin82}*sin8$

 $x=6.183ft$