Question

Solve for x in the triangle, Round your answer to the nearest tenth.

Answer 1

x = 14.6

Explanation:

Because this is a right triangle, we can use our trigonometry relationships to solve :

We are given, for a right triangle:

Angle = 66°

Opposite = x

hypotenuse = 16

sin 66° = x / 16

x = 16 sin 66°

x = 14.617

x = 14.6 (nearest tenth)

Answer 2

14.6 = x

Explanation:

Since this is a right triangle, we can use trig functions

sin theta = opp/ hyp

sin 66 = x/16

16 sin 66 = x

14.61672732 =x

To the nearest tenth

14.6 = x