Question

A patio lounge chair can be reclined at various angles, one of which is illustrated below.

.
Based on the given measurements, at what angle, θ, is this chair currently reclined? Approximate to the nearest tenth of a degree.

a. 31.4 b. 33.2 c. 40.2 d. 48.6

Answer 1

option c 40.2

Explanation:

from the given figure,

∅ = sin¬ perpendicular/hypotenuse

where ¬ symbol stands for inverse of sin

= sin¬ 31/48

= 40.228°

the chair currently reclined to the nearest tenth of a degree

= 40.2°