Answer:
The length of TR to the nearest tenth of a foot is 4.9 feet.
Step-by-step 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
[tex]\tan S = \frac{\textrm{side opposite to angle S}}{\textrm{side adjacent to angle S}}\\\\\tan 66= \frac{TR}{ST}\\ \\2.246 = \frac{TR}{2.2} \\\\\therefore TR = 2.246\times 2.2\\\\\therefore TR = 4.941\ feet\\\therefore TR =4.9\ feet[/tex]
The length of TR to the nearest tenth of a foot is 4.9 feet.