A river is flowing due east at 5 mi/h. A man heads his motorboat in the direction N 30° E in the river. The speed of the motorboat relative to the water is 8 mi/h. (Let east-west be represented by the first component, and north-south be represented by the second component.) (a) Express the true velocity of the motorboat as a vector. =__________mi/hr (b) Find the true speed and direction of the motorboat. (Round your answers to one decimal place.) true speed =________mi/hr direction=_________degreees

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 river is flowing due east at 5 mi/h. A man heads his motorboat in the direction N 30° E in the river. The speed of the motorboat relative to the water is 8 mi/h. (Let east-west be represented by the first component, and north-south be represented by the second component.)

(a) Express the true velocity of the motorboat as a vector.

=__________mi/hr

(b) Find the true speed and direction of the motorboat. (Round your answers to one decimal place.)

true speed =________mi/hr

direction=_________degreees

 

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