A straight river flows east at a speed of 10 mi/h. A boater starts at the south shore of the river and heads in a direction 60° from the shore (see the figure). The motorboat has a speed of 24 mi/h relative to the water. (Assume that the i vector points east, and the j vector points north.) Find the direction of the motorboat.

Algebra and Trigonometry (MindTap Course List)
4th Edition
ISBN:9781305071742
Author:James Stewart, Lothar Redlin, Saleem Watson
Publisher:James Stewart, Lothar Redlin, Saleem Watson
Chapter9: Vectors In Two And Three Dimensions
Section9.CT: Chapter Test
Problem 4CT
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A straight river flows east at a speed of 10 mi/h. A boater starts at the south shore of the river and heads in a direction 60° from the shore (see the figure). The motorboat has a speed of 24 mi/h relative to the water. (Assume that the i vector points east, and the j vector points north.)

Find the direction of the motorboat. (Round your answer to one decimal place.)
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