Question

The triangle above has the following measures

Answer 1

∠ Q ≈ 58.3°

Explanation:

using the cosine ratio in the right triangle

cos Q =
`(adjacent)/(hypotenuse)` =
`(QR)/(QS)` =
`(s)/(r)` =
`(31)/(59)` , then

∠ Q =
`cos^(-1)` (
`(31)/(59)` ) ≈ 58.3° ( to the nearest tenth )