A length of rope 168 feet stretches from a bolt in the floor to the peak of an 87 foot radio tower. What is the distance from the floor at the radio tower base to the bolt? What angle does the rope make with the floor?
We can draw the length in the graph:
We can find by Pythagoras Theorem that:
r^2 = ...
This uses trigonometry to find length and angle of a rope.