Question

In somalia, city b is 75 kilometers due north of city

c. city a is 42 kilometers due east of city
c. how far is city b from city a? round your answer to the nearest hundredth of a kilometer.

Answer 1

We first approach this problem by forming a diagram. Refer to the attachment.

You might notice a right triangle forming when you connect cities A, B, and C. In this case, we'll just need the Pythagorean theorem when solving for the distance between city B and city A.


`AB^(2)=BC^(2) + AC^(2)= 75^(2) + 42^(2) =7389`

`AB=85.96`

ANSWER: The distance between city B and city A is 85.96 kilometers.