Question

Find the missing side. Round to the nearest tenth.

Answer 1

Answer: 23.7

Explanation:

Let's calculate the acute angle at the base of the triangle:

180° - 90° - 40° = 50°

Find side x:

`(sin \: 90^(o) )/(31) =(sin \: 50^(o) )/(x)\\\\sin \: 90^(o) \cdot x=sin \: 50^(o) \cdot 31\\\\sin \: 90^(o) =1\\sin \: 50^(o) \approx 0.766\\1 \cdot x =0.766 \cdot 31\\x=23.746\\23.746 \approx 23.7`