Question

Find the acute angle

Answer 1

22°

Explanation:

Since the triangle is right use the sine ratio

sinQ =
`(opposite)/(hypotenuse)` =
`(7)/(19)`, hence

Q =
`sin^(-1)`(
`(7)/(19)`) = 22° ( nearest degree )

Answer 2

Answer: 22°

Explanation:

As you can see in the figure, the triangle is a rigth triangle, which means that it has an angle that measures 90 degrees.

Then, you can calculate the acute angle asked in the problem as following:

`arcsin\alpha=opposite/hypotenuse\\alpha=Q\\opposite)7\\hypotenuse=19`

Then, you obtain the following result:

`arcsin\Q=7/19`

`Q=22\°`