Question

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

Right triangles and trigonometry
ANSWERED
asked 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?

Expert Answers (2)

2021-06-11

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:
\(\displaystyle{872}+{1162}={x}^{{2}}\)
\(\displaystyle{21025}={x}^{{2}}\)
\(\displaystyle\sqrt{21025}={x}\)
\(x=145\) miles

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Best answer
2021-08-11

Explanation

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