Question

Tara drives due north for 22 miles then east 11 miles. How far is Tara from her starting point? Round to the nearest tenth is necesary

Answer 1

Hello!

The answer is: Tara is 24.6 miles from her starting point.

Why?

Since she first drives to the north, and then to the east, we can find how far is Tara from her starting point by using the Pythagorean Theorem.

The Pythagorean Theorem states that:

`a^(2) =b^(2)+c^(2)`

`a=Displacement\\b=22miles(north)\\c=11miles(east)`

Therefore,

`Displacement=\sqrt{22miles^(2) + 11miles^(2)}=√(484 + 121)\\diagonal=√(605)=√(400.57)=24.59miles=24.6miles`

So, Tara is 24.6 miles from her starting point and her displacement is 24.6 miles northeast.