# Math Help - Find Measure of Angle x

1. ## Find Measure of Angle x

A flagpole that stands on level ground. Two cables, r and s, are attached to the pole at a point 16 feet above the ground. The combined length of the two cables is 50 feet. If cable r is attached to the ground 12 feet from the base of the pole, what is the measure of the angle, x, to the nearest degree, that cable s makes with the ground?

2. 32 degrees

You can find this by using Pythagorean Theorem to see how much cable is left for the other triangle.

$\sqrt{16^2 + 12^2} = 20$

so 50 - 20 = 30

So you know the hypotenuse and the opposite side for the other triangle.

$sin\theta= \frac{16}{30}$

3. ## Thanks

Thanks. I can take it from here.