Question

a scuba diver has a taut rope connecting the dive boat to an anchor on the ocean floor. the rope is 140 ft long and the water is 40 ft deep. to the nearest tenth of a foot, how far is the anchor from a point directly below the boat?

Answer 1

So using the Pythagorean theorem we have\[x^{2}+40^{2}=140^{2}\]\[x^{2}=18000\]\[x=134.2\text{ft}\]