# Find Measure of Angle x

• Sep 18th 2008, 08:19 PM
magentarita
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?
• Sep 18th 2008, 08:37 PM
11rdc11
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.

$sin\theta= \frac{16}{30}$
• Sep 19th 2008, 04:50 AM
magentarita
Thanks
Thanks. I can take it from here.