AnswersNC-Math 4 CRVector Addition and Subtraction

Applying Vectors in the Plane Answers

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A single-engine plane is flying at 30 mph in the direction N 60° E. A wind is blowing from west to east at 15 mph. Which diagram accurately represents the wind triangle for this plane?

A
On a coordinate plane, a ground vector goes up and to the right. Air vector is higher than the ground vector and forms angle 60 degrees with the x-axis. Wind vector connects the terminal points of the vectors.
Option A
B
On a coordinate plane, an air vector goes up and to the right. Ground vector is higher than the ground vector and forms angle 60 degrees with the x-axis. Wind vector connects the terminal points of the vectors.
Option B
C
On a coordinate plane, a ground vector goes up and to the right. Air vector is higher than the ground vector and forms angle 60 degrees with the y-axis. Wind vector connects the terminal points of the vectors.
Option C
D
On a coordinate plane, an air vector goes up and to the right. Ground vector is higher than the ground vector and forms angle 60 degrees with the y-axis. Wind vector connects the terminal points of the vectors.
Option D
3

Review the diagram.

Question illustration
A
approximately 37.00° above the ground
B
approximately 42.17° above the ground
C
approximately 47.83° above the ground
D
approximately 53.00° above the ground
5

Review the graph.

Question illustration
A
13.23 pounds
B
38.78 pounds
C
43.95 pounds
D
53.23 pounds
6

Review the diagram.

Question illustration
A
9,821 pounds
B
10,244 pounds
C
14,405 pounds
D
24,226 pounds
8

Review the diagram.

Question illustration
A
(78, 290)
B
(290, 78)
C
(127, 272)
D
(272, 127)
9

A plane is traveling with an airspeed of 350 mph in the direction N 40° E. Let the plane’s ground speed equal x, which is affected by a 50-mph wind blowing directly from the south. Which diagram represents this scenario?

A
On a coordinate plane, a vector labeled 350 miles per hour is 40 degrees from the y-axis in quadrant 1. Vector x is about 35 degrees from the y-axis. A vector labeled 50 miles per hour connects the terminal points of the 2 vectors.
Option A
B
On a coordinate plane, a vector labeled 350 miles per hour is 40 degrees from the y-axis in quadrant 2. Vector x is about 35 degrees from the y-axis. A vector labeled 50 miles per hour connects the terminal points of the 2 vectors.
Option B
C
On a coordinate plane, a vector labeled 350 miles per hour is 40 degrees from the x-axis in quadrant 2. Vector x is about 45 degrees from the x-axis. A vector labeled 50 miles per hour connects the terminal points of the 2 vectors.
Option C
D
On a coordinate plane, a vector labeled 350 miles per hour is 40 degrees from the x-axis in quadrant 1. Vector x is about 45 degrees from the x-axis. A vector labeled 50 miles per hour connects the terminal points of the 2 vectors.
Option D

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