Question 1

Is the pair of vectors   and   perpendicular? ​

Accepted Answer

A)  no
B)  yes A

Question 2

Referring to triangle ABC, find the area of the triangle.  ? Round to three significant digits.

Accepted Answer

A)  12.7  m 2
B)  12.4 m 2
C)  12.8 m 2
D)  12.6 m 2
E)  13.1 m 2 C

Question 3

Is the pair of vectors i + 5 j and 5 i + j perpendicular? ​

Accepted Answer

A)  yes
B)  no B

Question 4

Solve the triangle.   km,    km,   ​ Apply the rules regarding the use of significant digits after all computations are complete.
​

Accepted Answer

A)      km
B)     km
C)     km
D)     km
E)     km

Question 5

Refer to triangle ABC . If  m,  m, and  , find b . Apply the rules regarding the use of significant digits after all computations are complete. ​

Accepted Answer

A)  4.3 m
B)  4.5 m
C)  3.5 m
D)  3.7 m
E)  3.3 m

Question 6

Find the work performed when the given force F is applied to an object, whose resulting motion is represented by the displacement vector d. Assume the force is in pounds and the displacement is measured in feet.  ​ 
Work = __________ ft-lb

Accepted Answer

The answer of Find the work performed when the given...

Question 7

Find the work performed when the given force F is applied to an object, whose resulting motion is represented by the displacement vector d. Assume the force is in pounds and the displacement is measured in feet.  ​

Accepted Answer

A)  646 ft-lb
B)  645 ft-lb
C)  643 ft-lb
D)  648 ft-lb
E)  650 ft-lb

Question 8

A hot-air balloon is held at a constant altitude by two ropes that are anchored to the ground. One rope is 125 feet long and makes an angle of 64° with the ground. The other rope is 120 feet long. What is the distance between the points on the ground at which the two ropes are anchored? ​ 
Apply the rules regarding the use of significant digits after all computations are complete. __________ ft.

Accepted Answer

The answer of A hot-air balloon is held at a...

Question 9

After a wind storm, a farmer notices that his 36-foot windmill may be leaning, but he is not sure. From a point on the ground 32 feet from the base of the windmill, he finds that the angle of elevation to the top of the windmill is 49°. Is the windmill leaning? If so, what is the acute angle the windmill makes with the ground? ​

Accepted Answer

A)  Yes; it makes an angle of 89° with the ground
B)  Yes; it makes an angle of 86° with the ground
C)  Yes; it makes an angle of 87° with the ground
D)  Yes; it makes an angle of 90° with the ground
E)  No, it is not leaning.

Question 10

After a wind storm, a farmer notices that his 36-foot windmill may be leaning, but he is not sure. From a point on the ground 34 feet from the base of the windmill, he finds that the angle of elevation to the top of the windmill is 49°. 
​Is the windmill leaning? __________ ​ 
If yes , what is the acute angle that the windmill makes with the ground? 
If no , answer none . 
Angle: __________°

Accepted Answer

The answer of After a wind storm, a farmer notices...

Question 11

A ship headed due east is moving through the water at a constant speed of 16 miles per hour. However, the true course of the ship is 60°. If the currents are a constant 8.0 miles per hour, what is the ground speed of the ship? 
​Apply the rules regarding the use of significant digits all computations are complete. __________mph

Accepted Answer

The answer of A ship headed due east is moving...

Question 12

The problem that follows refers to triangle ABC . If   and   inches, find b . Apply the rules regarding the use of significant digits after all computations are complete.  __________ inches

Accepted Answer

The answer of The problem that follows refers to triangle...

Question 13

For the pair of vectors, find  .  ​

Accepted Answer

A)   
B)  ​ 
C)  ​ 
D)  ​ 
E)  ​

Question 14

Find all solutions to the triangle described below.   yd,   yd​ ​Apply the rules regarding the use of significant digits to each angle and length after all computations are complete.
​

Accepted Answer

A)     yd or   yd
B)  ​  yd
C)    ​ yd or   yd
D)    ​ yd
E)  no solution

Question 15

For the triangle described below, solve for B . Apply the rules regarding the use of significant digits after all computations are complete.   ft,   ft ​

Accepted Answer

A)     or  
B)   
C)     or  
D)   
E)  no solutions

Question 16

Referring to triangle ABC, find the area of the triangle. Round to three significant digits. S = __________ inches²

Accepted Answer

The answer of Referring to triangle ABC, find the area...

Question 17

Find the dot product.  ​

Accepted Answer

A)  -316
B)  -318
C)  -315
D)  -319
E)  -317

Question 18

A plane is flying with an airspeed of 160 miles per hour and heading of 140°. The wind currents are running at 41 miles per hour at 155° clockwise from due north. Use vectors to find the true course and ground speed of the plane. Apply the rules regarding the use of significant digits after all computations are complete.

Accepted Answer

A)  196 mph with heading 147°
B)  200 mph with heading 145°
C)  190 mph with heading 143°
D)  190 mph with heading 145°
E)  200 mph with heading 143°

Question 19

Referring to triangle ABC, find the area of the triangle. Round to three significant digits. S = __________ ft²

Accepted Answer

The answer of Referring to triangle ABC, find the area...

Question 20

Find the magnitude of the vector and the angle   ,   , that the vector makes with the positive  x -axis. ​  ​

Accepted Answer

A)   
B)  ​ 
C)  ​ 
D)  ​ 
E)  ​

Exam 7: Triangles

Is the pair of vectors and perpendicular?

Referring to triangle ABC, find the area of the triangle. ? Round to three significant digits.

Is the pair of vectors i + 5 j and 5 i + j perpendicular?

Solve the triangle. km, km, Apply the rules regarding the use of significant digits after all computations are complete.

Refer to triangle ABC . If m, m, and , find b . Apply the rules regarding the use of significant digits after all computations are complete.

Find the work performed when the given force F is applied to an object, whose resulting motion is represented by the displacement vector d. Assume the force is in pounds and the displacement is measured in feet. Work = __________ ft-lb

Find the work performed when the given force F is applied to an object, whose resulting motion is represented by the displacement vector d. Assume the force is in pounds and the displacement is measured in feet.

The problem that follows refers to triangle ABC . If and inches, find b . Apply the rules regarding the use of significant digits after all computations are complete. __________ inches

For the pair of vectors, find .

Find all solutions to the triangle described below. yd, yd Apply the rules regarding the use of significant digits to each angle and length after all computations are complete.

For the triangle described below, solve for B . Apply the rules regarding the use of significant digits after all computations are complete. ft, ft

Referring to triangle ABC, find the area of the triangle. Round to three significant digits. S = __________ inches²

Find the dot product.

Referring to triangle ABC, find the area of the triangle. Round to three significant digits. S = __________ ft²

Find the magnitude of the vector and the angle , , that the vector makes with the positive x -axis.

Exam 7: Triangles

Is the pair of vectors and perpendicular? ​

Referring to triangle ABC, find the area of the triangle. ? Round to three significant digits.

Is the pair of vectors i + 5 j and 5 i + j perpendicular? ​

Solve the triangle. km, km, ​ Apply the rules regarding the use of significant digits after all computations are complete. ​

Refer to triangle ABC . If m, m, and , find b . Apply the rules regarding the use of significant digits after all computations are complete. ​

Find the work performed when the given force F is applied to an object, whose resulting motion is represented by the displacement vector d. Assume the force is in pounds and the displacement is measured in feet. ​ Work = __________ ft-lb

Find the work performed when the given force F is applied to an object, whose resulting motion is represented by the displacement vector d. Assume the force is in pounds and the displacement is measured in feet. ​

The problem that follows refers to triangle ABC . If and inches, find b . Apply the rules regarding the use of significant digits after all computations are complete. __________ inches

For the pair of vectors, find . ​

Find all solutions to the triangle described below. yd, yd​ ​Apply the rules regarding the use of significant digits to each angle and length after all computations are complete. ​

For the triangle described below, solve for B . Apply the rules regarding the use of significant digits after all computations are complete. ft, ft ​

Referring to triangle ABC, find the area of the triangle. ​ Round to three significant digits. S = __________ inches2

Find the dot product. ​

Referring to triangle ABC, find the area of the triangle. ​ Round to three significant digits. S = __________ ft2

Find the magnitude of the vector and the angle , , that the vector makes with the positive x -axis. ​ ​

Is the pair of vectors and perpendicular?

Is the pair of vectors i + 5 j and 5 i + j perpendicular?

Solve the triangle. km, km, Apply the rules regarding the use of significant digits after all computations are complete.

Refer to triangle ABC . If m, m, and , find b . Apply the rules regarding the use of significant digits after all computations are complete.

Find the work performed when the given force F is applied to an object, whose resulting motion is represented by the displacement vector d. Assume the force is in pounds and the displacement is measured in feet. Work = __________ ft-lb

Find the work performed when the given force F is applied to an object, whose resulting motion is represented by the displacement vector d. Assume the force is in pounds and the displacement is measured in feet.

For the pair of vectors, find .

Find all solutions to the triangle described below. yd, yd Apply the rules regarding the use of significant digits to each angle and length after all computations are complete.

For the triangle described below, solve for B . Apply the rules regarding the use of significant digits after all computations are complete. ft, ft

Referring to triangle ABC, find the area of the triangle. Round to three significant digits. S = __________ inches²

Find the dot product.

Referring to triangle ABC, find the area of the triangle. Round to three significant digits. S = __________ ft²

Find the magnitude of the vector and the angle , , that the vector makes with the positive x -axis.