Question

Find the measure of angle y. Round your answer to the nearest hundredth. (please type the numerical answer only)

Answer 1

Given:

The figure of a right triangle. $PO=12,m\angle O=y^\circ$ and perpendicular = 12.

To find:

The measure of angle y.

Solution:

In a right angle triangle,

$\sin\theta=\dfrac{Perpendicular}{Hypotenuse}$

In the given right angle triangle,

$\sin y^\circ=\dfrac{7}{12}$

$y^\circ=\sin ^{-1}\dfrac{7}{12}$

$y^\circ=35.685335^\circ$

$y^\circ\approx 35.69^\circ$

Therefore, the measure of angle y is $y^\circ =35.69^\circ$.