# Traveling from City 1 to City 2, a pilot planned a southeast course along the path labeled d. Instead, a storm forced the pilot to travel 32

Question

Traveling from City 1 to City 2, a pilot planned a southeast course along the path labeled d. Instead, a storm forced the pilot to travel 32 miles south, then 24 miles east to reach City 2. How many extra miles was the pilot forced to fly?

A. 13 mi.
B. 14 mi.
C. 16 mi.
D. 17 mi.

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2 years 2021-08-01T22:44:37+00:00 1 Answers 46 views 0

C. 16 mi.

Step-by-step explanation:

This situation forms a right triangle: the distances 32 miles south and 24 miles east are the legs, and the original southeast course is the hypotenuse.

Use the pythagorean theorem, a² + b² = c² to solve for c, the length of the southeast course.

a² + b² = c²

32² + 24² = c²

1600 = c²

40 = c

So, the southeast course is 40 miles long.

Find how many miles the pilot traveled on the alternate route:

32 + 24

= 56

Find the difference in extra miles:

56 – 40

= 16

So, the pilot was forced to fly 16 extra miles.

The correct answer is C. 16 mi.