Question

Find the length of the side labeled. Round intermediate values to the nearest tenth. Use the rounded values to calculate the next value. Round your final answer to the nearest tenth.

Answer 1

Looking at the left side triangle only, you have a right triangle with angle 23 degrees, and the hypotenuse.

For the right side triangle, you have a right triangle with angle 50 degrees and hypotenuse x.

Notice that for both triangles they share the side across from the angle.

Using the sin ratio sin(theta) = opposite/hypotenuse, you can set up the ratio for each triangle. For both equations, solve for the opposite side by multiplying by the hypotenuse.

Since the opposite side on both triangles is equal you can set the equations equal to each other. Finally you can solve for side x.