Question

Solve for the missing side of the triangle.

Round off answer to the nearest thousandths
(3 decimal places)
SOH CAH TOA
x =
239
14
Х

Answer 1

x = 5.943

Explanation:

Reference angle = 23°

Side opposite to reference angle = x

Adjacent side = 14

Therefore, we would apply TOA to find x.

Thus:

tan (23) = x/14

Multiply both sides by 14

14 × tan(23) = x

5.94264742 = x

x = 5.943 (to 3 decimal places)