Question

In ΔRST, the measure of ∠T=90°, the measure of ∠S=66°, and ST = 2.2 feet. Find the length of TR to the nearest tenth of a foot..

Answer 1

The length of TR to the nearest tenth of a foot is 4.9 feet.

Explanation:

Δ RST is a Right Angle Triangle at

∠ T = 90°

∠ S = 66°

ST =2.2 feet

To Find:

TR = ?

Solution:

In Right Angle Triangle Δ RST we will apply Tangent Rule

`\tan S = \frac{\textrm{side opposite to angle S}}{\textrm{side adjacent to angle S}}\\\\\tan 66= (TR)/(ST)\\ \\2.246 = (TR)/(2.2) \\\\\therefore TR = 2.246* 2.2\\\\\therefore TR = 4.941\ feet\\\therefore TR =4.9\ feet`

The length of TR to the nearest tenth of a foot is 4.9 feet.