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 p

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?

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Euphemia 3 years 2021-08-14T18:04:18+00:00 1 Answers 13 views 0

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  1. thuthao
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    2021-08-14T18:05:22+00:00
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    Answer:

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

    Step-by-step 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

    \sqrt{c^2}=\sqrt{164}\\c=12.81\ miles

    Hence,

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

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