Question

find the measure of angle y. round your answer to the nearest hundredth. (please type the numerical answer only)
numerical answers expected
answer for blank 1:

Explanation:

Step1: Identify trigonometric ratio

In a right - triangle, we use the sine function. Sin(y) = opposite/hypotenuse. Here, the opposite side to angle y is 7 and the hypotenuse is 12.
$\sin(y)=\frac{7}{12}$

Step2: Find the angle

We take the inverse - sine of both sides. $y = \sin^{-1}(\frac{7}{12})$
Using a calculator, $y=\sin^{-1}(\frac{7}{12})\approx35.69^{\circ}$

Answer:

35.69