Question

In ΔQRS, the measure of ∠S=90°, the measure of ∠R=29°, and SQ = 5.8 feet. Find the length of RS to the nearest tenth of a foot.

Answer 1

10.5

explain

x = 5.8 / tan 29 = 10.4635

10.5 feet

Answer 2

10.5 ft

Explanation:

In ΔQRS,

• m∠S=90°
• m∠R=29°,
• SQ = 5.8 feet.

See the diagram below.

The triangle is a Right Triangle,

Using trigonometric ratios,

`Tan R=(|SQ|)/(|RS|) \\Tan 29^\circ=(5.8)/(|RS|)\\$Cross multiply$\\|RS|XTan 29^\circ=5.8\\|RS|=(5.8)/(Tan 29^\circ)\\$=10.5 ft (to the nearest tenth of a foot)`