Question

guy wire attached to a telephone pole makes a 67-degree angle with the ground. at a point 20ft farther out from the guy wire the angle of elevation of the top of the pole is 35 degree. how long is the guy wire

Answer 1

It is best to draw the situation given above to understand the problem better. You will see that there are two right triangles that can be made. One would have the angle 67 degrees and the other with angle 35 degrees. We calculation as follows:

From the triangles, we can set up two equations with two unknowns:

tan 67 = h/x

tan 35 = h/(20+x)

h = 19.93 ft

Explanation:

Answer 2

It is best to draw the situation given above to understand the problem better. You will see that there are two right triangles that can be made. One would have the angle 67 degrees and the other with angle 35 degrees. We calculation as follows:

From the triangles, we can set up two equations with two unknowns:
tan 67 = h/x
tan 35 = h/(20+x)

h = 19.93 ft