CPM Homework Help : CCG Problem 8-77

Multiple Choice: A cable $100$ feet long 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?

$39.99°$

$44.43°$

$45.57°$

$12.22°$

Hint:

Draw a diagram of this. What inverse trig ratio can you use to find the angle measure?

Answer:

$\text{(b), because the sin}^{-1}\left(\frac{70}{100}\right)\approx44.43°.$