A boat leaves the harbor and sails 7 miles west and 2 miles north to an island. The next day it travels to a second island 5 miles south and 3 miles east of the harbor. How far is it from the first island to the second island?

Question

Mathematics

Avah Orozco

5 May, 02:16

A boat leaves the harbor and sails 7 miles west and 2 miles north to an island. The next day it travels to a second island 5 miles south and 3 miles east of the harbor. How far is it from the first island to the second island?

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Answers (1)

Know the Answer?

Keagan Fry · Answer 1

sqrt (149) or about 12.21

Step-by-step explanation:

Think of the islands as coordinates on a graph. If the harbor is the origin, the first island would be (-7,2) while the second island would be (3,-5). To find the distance you have to use the Pythagorean theorem, so 10^2+7^2=d^2. This shows you that the distance has to be the square root of 149, or around 12.21 (rounding to the nearest hundredth).