CPM Homework Help : INT2 Problem 7-41

A $100$ -foot long cable is attached $70$ feet up the side of a building. If it is pulled taut (i.e., there is no slack) and staked to the ground as far away from the building as possible, approximately what angle does the cable make with the ground?

$40.0^\circ$

$44.4^\circ$

$45.6^\circ$

$12.2^\circ$

Hint:

$\sin(\theta)=\frac{\text{opposite}}{\text{hypotenuse}}$

Right triangle, hypotenuse labeled, 100, vertical leg labeled, 70, angle opposite vertical leg, labeled with 1 tick mark.