Find the measure of the indicated angle. Round your answer to the nearest degree.

Right triangle a=20, c=23

Find the measure of the indicated angle. Round your answer to the nearest degree.

Right triangle a=20, c=23

26

90

30

60

1 answer

To find the measure of the indicated angle, we need to first identify which angle we are looking for. In this case, since side a is opposite the angle we are looking for, we can use the sine function to solve for the angle.

sin(angle) = opposite/hypotenuse
sin(angle) = 20/23
angle = sin^(-1)(20/23)
angle = 60.83 degrees

Rounded to the nearest degree, the measure of the indicated angle is 61 degrees.