Respuesta :
riding directly to the pool would be 4.2 miles, so he would have saved 1.8 miles
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.
[tex]h^2=3^3+3^2[/tex]
[tex]h^2=9+9[/tex]
[tex]h^2=18[/tex]
Take square root of both sides:
[tex]h=\sqrt{18}[/tex]
[tex]h=4.24264068[/tex]
[tex]h\approx 4.2[/tex]
The distance covered by the 90 degree angle would be [tex]3+3=6[/tex] miles.
[tex]\text{Distance saved by directly traveling to pool}=6-4.2[/tex]
[tex]\text{Distance saved by directly traveling to pool}=1.8[/tex]
Therefore, Keith would have saved 1.8 miles, if he had ridden directly to the pool.
