PLEASE OF YOU CAN SHOW THE WORK: The accompanying diagram shows a flagpole that stands on level ground. Two cables, r and s, are attached to a pole at a point 20 feet above the ground. The combine length of the two cables is 70 feet. If cable r is attached to the ground 8 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? N = 20 ft S 8 t

Step-by-step explanation:

We know that r and s have a combined length of 70. Therefore:

Notice that we can determine r by using the Pythagorean Theorem. In this case, r is the hypotenuse, and 20 and 8 are the legs. Therefore:

Substituting 20 and 8 for a and b and r for c yields:

Compute:

Therefore:

Now, we can determine s. We know that:

So, by substitution:

Therefore:

Now, notice that, with respect to x, 20 is the opposite side and s is the hypotenuse.

Therefore, we can use the sine ratio. The sine ratio is the ratio between a right triangles opposite side to its hypotenuse.

In this case, the opposite to x is 20, and the hypotenuse is s, or 70-4√29. Therefore:

By substitution:

Take the inverse sine of both sides:

Use a calculator. Therefore:

the answer is a.

step-by-step explanation:

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