Question

Find the acute angle

Answer 1

Answer: 22°

Step-by-step 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:

$arcsin\Q=7/19$

$Q=22\°$

Answer 2

Answer:

22°

Step-by-step explanation:

Since the triangle is right use the sine ratio

sinQ = $\frac{opposite}{hypotenuse}$ = $\frac{7}{19}$, hence

Q = $sin^{-1}$($\frac{7}{19}$) = 22° ( nearest degree )