Question

a flagpole stands on level ground. Two cables, R&S, are attached. The combined length of two cables is 50 ft. To the nearest degree, what is the angle measure of x?

Answer 1

Quality, this is the solution:

Step 1: Let's use the Pythagoras Theorem to solve for r, as follows:

r² = 16² + 12²

r² = 256 + 144

r² = 400

Square root at both sides:

√r² = √400

r = 20 ft

Step 2: Now, we can calculate s, this way:

r + s = 50

20 + s = 50

s = 50 - 20

s = 30 ft

Finally, we can calculate the measure of the angle x, as follows:

Angle x = arcsin (16/30)

Angle x = arcsin (0.533)

Angle x = 0.562 radians

Angle x = 32.23 degrees