Two college friends are taking a weekend road trip. Friday they leave home and drive 87 miles north for a night of dinner and dancing in the city. The

Wierzycaz

Wierzycaz

Answered question

2021-06-10

Two college friends are taking a weekend road trip. Friday they leave home and drive 87 miles north for a night of dinner and dancing in the city. The next morning they drive 116 miles east to spend a day at the beach. If they drive straight home from the beach the next day, how far do they have to travel on Sunday?

Answer & Explanation

Aubree Mcintyre

Aubree Mcintyre

Skilled2021-06-11Added 73 answers

Let x be the distance the two friends must drive straight home from the beach. Draw the situation which is a right triangle as shown:
The required distance is the hypotenuse so by using the Pythagorean Theorem, we write:
872+1162=x2
21025=x2
21025=x
x=145 miles

Jeffrey Jordon

Jeffrey Jordon

Expert2021-08-11Added 2605 answers

Explanation

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