A man and a woman leave an intersection at the same time. The man walks north at a rate of 10 feet per second and the woman walks east at a rate of 6 feet per second. What is the distance between them 9 seconds later? Round your answer to the nearest foot.

Question

A man and a woman leave an intersection at the same time. The man walks north at a rate of 10 feet per second  and the woman walks east at a rate of 6 feet per second. What is the distance between them 9 seconds later?  Round your answer to the nearest foot.

radar · Answer

Their distance after 9 seconds will be;
man 90 feet north
woman 54 feet east.
Imagine a right angle with one leg 54 feet in length and the other leg 90 feet in length.
There distance from each other is the hypotenuse of this right angle and is equal to$$d=\sqrt{90^{2}+54^{2}}$$$$d=\sqrt{11016}=104.9571341 feet$$