Question

Find the value of X.

Answer 1

check the picture below.

Answer 2

To solve the top triangle, use the sine of 45° and find the shared side length (y):

sin(45°) = y / 12

12(sin(45°) = y

y = 8.485

(The side y is opposite of the bottom triangle's 30° angle.)

Use the tangent of 30° to find the side length of x.

tan(30°) = 8.485 / x

x(tan(30°)) = 8.485

x = 8.485 / (tan(30°))

x = 14.696

The side length of x is approximately 14.696 units.