Question

Find the measure of the angle

Answer 1

58°

Explanation:

`sin(?)=(45)/(53)`

`?=sin^(-1) ((45)/(53))`

`?=sin^(-1) (0.8491)`

`?=58.1^(0)`

Hope this helps.

Answer 2

? ≈ 58°

Explanation:

since all 3 sides of the triangle are given, we can use any of the 3 trigonometric ratios.

using the sine ratio

sin ? =
`(opposite)/(hypotenuse)` =
`(45)/(53)` , then

? =
`sin^(-1)` (
`(45)/(53)` ) ≈ 58° ( to the nearest degree )