Two ships leave a port at the same time. Ship m travels north , ship n travels east 84 miles. How many miles has ship m traveled

Question

2 ships leave same port at the same time.

Ship m travels north

Ship n travels 84 miles east.

5 hours later the ships are 105 miles apart.if.

How far did ship m travel?

Answer 1

Ginger, if we draw this situation, we end up with a right triangle.

 

m² + 84² = 105²

m² + 7056 = 11025

m² = 3969

m = 63

 

63 miles

Answer 2

The wording of this is rather awkward. I assume that you mean that 5 hours after the ships set sail (or equivalent means of locomotion), those two distances mentioned describe the situation at that instant.

 

Draw a representation of this situation. It will be a right triangle.

 

Label the sides that are known (hypotenuse = 105 mi, horizontal leg = 84 mi).

 

Pythagorean Theorem!!