A submarine descends at an angle of 30° below the horizontal with a heading to the northeast. If its speed is 24knots, find the components of the velocity in the east, north, and vertical directions. Let the unit vectors i, j, and k point east, north, and upward, respectively. Sketch a vector describing the velocity of the submarine. Choose the correct graph below.A.ZO B.ynorthZup30°X J24 knots30°XXeasteast24 knotsup-ynorthThe components of the velocity are 12√3 knots to the east, 12 knots to the north, and -24 knots downward.(Type exact answers.)C.Z| up30°24 knots*Xeastynorth

Answered: Image /qna-images/answer/b705ef35-b1f9-4a1c-9345-ae8c111bb2e0.jpg

A submarine descends at an angle of 30° below the horizontal with a heading to the northeast. If its speed is 24 knots, find the components of the velocity in the east, north, and vertical directions.

A submarine descends at an angle of 30° below the horizontal with a heading to the northeast. If its speed is 24 knots, find the components of the velocity in the east, north, and vertical directions.

Trigonometry (MindTap Course List)

8th Edition

ISBN:9781305652224

Author:Charles P. McKeague, Mark D. Turner

Publisher:Charles P. McKeague, Mark D. Turner

Chapter7: Triangles

Section7.2: The Law Of Cosines

Problem 7PS

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Question

A submarine descends at an angle of 30° below the horizontal with a heading to the northeast. If its speed is 24

knots, find the components of the velocity in the east, north, and vertical directions.

Let the unit vectors i, j, and k point east, north, and upward, respectively. Sketch a vector describing the velocity of the submarine. Choose the correct graph below.
A.
Z
O B.
y
north
Z
up
30°
X J
24 knots
30°
X
X
east
east
24 knots
up
-y
north
The components of the velocity are 12√3 knots to the east, 12 knots to the north, and -24 knots downward.
(Type exact answers.)
C.
Z
| up
30°
24 knots
*
X
east
y
north

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