A straight river flows east at a speed of 9 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 20 mi/h relative to the water. (Assume that the i vector points east, and the j vector points north.)   Find the true speed of the motorboat. (Round your answer to one decimal place.)  __mi/h Find the direction of the motorboat. (Round your answer to one decimal place.) N __ ° E

Algebra & Trigonometry with Analytic Geometry
13th Edition
ISBN:9781133382119
Author:Swokowski
Publisher:Swokowski
Chapter8: Applications Of Trigonometry
Section8.3: Vectors
Problem 47E
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A straight river flows east at a speed of 9 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 20 mi/h relative to the water. (Assume that the i vector points east, and the j vector points north.)

 

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

 __mi/h

Find the direction of the motorboat. (Round your answer to one decimal place.)
N __ ° E

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