A communications tower has many guy wires supporting it. Two of these guy wires are 10.0 m and 8.0 long. They are attached at the same point on the ground. The longer wire has an angle of inclination of 60 degrees.

a) How far from the base of the tower are the wires attached to the ground? (Which side am I looking for? Do I use Cos?)

b) What is the angle of inclination of the shorter guy wire?

c) How far apart are the points where the guy wires are attached to the tower?
Give measures to the nearest tenth.

1 answer

yes, use cos to find how far away the wires are anchored.

Then use that distance and cos again to find the smaller angle.

Then use sin to find the heights on the tower. Or, equivalently, use the Pythagorean Theorem to find the heights, since you have the base and tbhe hypotenuses.