Question

If the hypotenuse of a right triangle is 6 inches and the side opposite to equals inches, what is the measure of ?

A.
30°
B.
45°
C.
60°
D.
90°

Answer 1

C. 60 degrees.

Explanation:

Sin theta = opposite / hypotenuse

= 3 sqrt3 / 6

= sqrt3 / 2.

So theta = arcsin (sqrt3/2)

= 60 degrees.