AnswersPrecalculusApplying Vectors in the Plane

Applying Vectors in the Plane Answers

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4

How far is the ship from the port, and what is its bearing?

A
Distance: 8.6 miles; Bearing: 20.2 degrees West of North.
B
Distance: 8.6 miles; Bearing: 20.2 degrees East of North.
C
Distance: 8.6 miles; Bearing: 44.7 degrees East of North.
D
Distance: 8.6 miles; Bearing: 44.7 degrees West of North.
5

An airplane is flying in the direction of 15 degrees North of East at 450 mph. A wind is blowing in the direction of 15 degrees South of East at 65 mph. Pick the correct diagram for this situation.

A
[Image: On a coordinate plane, the ground vector is about ...]
Option A
B
[Image: On a coordinate plane, the air vector is about 25 ...]
Option B
C
[Image: On a coordinate plane, the ground vector is about ...]
Option C
D
[Image: On a coordinate plane, the air vector is about 60 ...]
Option D
11

The compass of an airplane indicates that it is headed due north, and its airspeed indicator shows that it is moving through the air at 240 km/hr. If there is a wind of 100 km/hr from west to east, what is the velocity of the airplane?

A
155 km/hr with directional bearing N65.8˚E
B
260 km/hr with directional bearing N67.4˚E
C
260 km/hr with directional bearing N22.6˚E
D
155 km/hr with directional bearing N24.6˚E
12

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