Question

Sandeep likes to skate at an ice cream parlor that is due south of his school and due west of his favorite movie theater. If the ice cream parlor is 8 miles from his school and the straight-line distance between the school and the movie theater is 10 miles, how far is the ice cream parlor from the movie theater?

Answer 1

The ice cream parlor is 12.81 miles far from the movie theatre.

Explanation:

Given that:

Distance between school and ice cream parlor = 8 miles

Distance between school and movie theatre = 10 miles

These distances will serve as base and perpendicular of a right angled triangle and the hypotenuse will be the distance between movie theatre and ice cream parlor.

Using Pythagorean theorem;

`a^2+b^2=c^2\\(8)^2+(10)^2=c^2\\64+100=c^2\\164=c^2\\c^2=164`

Taking square root on both sides

`√(c^2)=√(164)\\c=12.81\ miles`

Hence,

The ice cream parlor is 12.81 miles far from the movie theatre.