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

Answer:

B. 1.8 miles

Step-by-step 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:

$h=\sqrt{18}$

$h=4.24264068$

$h\approx 4.2$

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.

Answer 2

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