6
QuizMultiple Choice

Dot Product and Work — Unit test

Question 6 • Precalculus

A cyclist travels 5 miles in the direction N 30° E, then travels 3 miles in the direction N 70° E. Which equation measures the cyclist’s distance, x, from the starting point?

Answer
A
52 = x2 + 32 – 2(3)(x)cos(100°)
B
52 = x2 + 32 – 2(3)(x)cos(140°)
C
x2 = 52 + 32 – 2(5)(3)cos(100°)
D
x2 = 52 + 32 – 2(5)(3)cos(140°)
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