Question

Given the right triangle shown, calculate the measure of angle x. Round to the nearest degree. A.23 degree , B.39 degree , C.67 degree , D.90 degree

Answer 1

Since it is a right triangle, we can apply the trigonometric function:

Sin a = opposite side / hypotenuse

Where:

a= angle = x

Opposite side = 5

Hypotenuse= 13

Replacing:

Sin x = 5/13

Solve for x

x = arc sin (5/13)

x= 22.6 = 23 ° (rounded)

Answer : A. 23°