Question

Keith left his house, rode his bike 3 miles along one road, took a 90 degree turn, and rode 3 miles to the local swimming pool. If he had ridden directly to the pool, how much distance would he have saved? Round the answer to the nearest tenth of a mile.

1.2 miles

1.8 miles

2.5 miles

4.2 miles

Answer 1

riding directly to the pool would be 4.2 miles, so he would have saved 1.8 miles

Answer 2

B. 1.8 miles

Explanation:

We have been given that Keith left his house, rode his bike 3 miles along one road, took a 90 degree turn, and rode 3 miles to the local swimming pool.

Since Keith turns at a 90 degree, so the given lengths will form a right triangle with each leg equal to 3 miles.

The direct distance between house and pool would be hypotenuse of right triangle.

`h^2=3^3+3^2`

`h^2=9+9`

`h^2=18`

Take square root of both sides:

`h=√(18)`

`h=4.24264068`

`h\approx 4.2`

The distance covered by the 90 degree angle would be
`3+3=6` miles.

`\text{Distance saved by directly traveling to pool}=6-4.2`

`\text{Distance saved by directly traveling to pool}=1.8`

Therefore, Keith would have saved 1.8 miles, if he had ridden directly to the pool.