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RCMultiple Choice

Cumulative Exam — Cumulative exam

Question 1 • *25-26 KCS21 Precalculus IC

A plane flies 35 km in the direction N 30° W, then flies 60 km in the direction N 60° E. How far is the plane from its original location?

Answer
A
29.64 km
B
58.21 km
C
69.46 km
D
93.66 km

Explanation

The directions N 30° W and N 60° E are 90° apart, so the two flight legs are perpendicular. Use the Pythagorean theorem: the distance from the starting point is √(35² + 60²) = √4825 ≈ 69.46 km, which is choice C.

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