A straight river flows east at a speed of 8 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 22 mi/h relative to the water. (Assume that the i vector points east, and the j vector points north.) AN 60° (a) Express the velocity of the river as a vector in component form. (b) Express the velocity of the motorboat relative to the water as a vector in component form. (Round your answer to two decimal places.) (c) Find the true velocity of the motorboat. (Round your answer to two decimal places.) (d) 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 OE

A straight river flows east at a speed of 8 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 22 mi/h relative to the water. (Assume that the i vector points east, and the j vector points north.) AN 60° (a) Express the velocity of the river as a vector in component form. (b) Express the velocity of the motorboat relative to the water as a vector in component form. (Round your answer to two decimal places.) (c) Find the true velocity of the motorboat. (Round your answer to two decimal places.) (d) 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 OE

Trigonometry (11th Edition)

11th Edition

ISBN:9780134217437

Author:Margaret L. Lial, John Hornsby, David I. Schneider, Callie Daniels

Publisher:Margaret L. Lial, John Hornsby, David I. Schneider, Callie Daniels

Chapter1: Trigonometric Functions

Section: Chapter Questions

Problem 1RE: 1. Give the measures of the complement and the supplement of an angle measuring 35°.

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Question

A straight river flows east at a speed of 8 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 22 mi/h relative to the water. (Assume that the i vector points east, and the j vector points north.)
60°
(a) Express the velocity of the river as a vector in component form.
(b) Express the velocity of the motorboat relative to the water as a vector in component form. (Round your answer to two decimal places.)
(c) Find the true velocity of the motorboat. (Round your answer to two decimal places.)
(d) 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.)
O E

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