A boat heads in the direction N 74° E. The speed of the boat relative to the water is 28 mi/h. The water is flowing directly south. It is observed that the true direction of the boat is directly east. (Assume that the i vector points east, and the j vector points north.) (a) Express the velocity of the boat relative to the water as a vector in component form. (Round your answer to one decimal place.) X (b) Find the speed of the water and the true speed of the boat. (Round your answers to one decimal place.) mi/h water mi/h boat

Algebra & Trigonometry with Analytic Geometry
13th Edition
ISBN:9781133382119
Author:Swokowski
Publisher:Swokowski
Chapter8: Applications Of Trigonometry
Section8.3: Vectors
Problem 40E
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A boat heads in the direction N 74° E. The speed of the boat relative to the water is 28 mi/h. The water is flowing directly south. It is
observed that the true direction of the boat is directly east. (Assume that the i vector points east, and the j vector points north.)
(a) Express the velocity of the boat relative to the water as a vector in component form. (Round your answer to one decimal
place.)
X
(b) Find the speed of the water and the true speed of the boat. (Round your answers to one decimal place.)
mi/h
water
mi/h
boat
Transcribed Image Text:A boat heads in the direction N 74° E. The speed of the boat relative to the water is 28 mi/h. The water is flowing directly south. It is observed that the true direction of the boat is directly east. (Assume that the i vector points east, and the j vector points north.) (a) Express the velocity of the boat relative to the water as a vector in component form. (Round your answer to one decimal place.) X (b) Find the speed of the water and the true speed of the boat. (Round your answers to one decimal place.) mi/h water mi/h boat
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