Question 1

Find the dot product.  ​

Accepted Answer

A) 59 
B) 55 
C) 54 
D) 58 
E) 56

Question 2

The problem that follows refers to triangle ABC . ​ If   and   inches, find b
Apply the rules regarding the use of significant digits.
​

Accepted Answer

A) 148 inches 
B) 160 inches 
C) 150 inches 
D) 154 inches 
E) 138 inches

Question 3

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

Question 4

Vector W  is in standard position, and makes an angle of   with the positive x -axis. Its magnitude is 6. In the following problems, please round your answer to 2 significant digits. 
Write W  in component form  .  ​ 
Write W  in vector component form  ​

Accepted Answer

The answer of Vector W  is in standard position, and...

Question 5

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

Accepted Answer

The answer of Solve the triangle.  m,  m,...

Question 6

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

Question 7

A 50-foot wire running from the top of a tent pole to the ground makes an angle of 55° with the ground. If the length of the tent pole is 47 feet, how far is it from the bottom of the tent pole to the point where the wire is fastened to the ground? (The tent pole is not necessarily perpendicular to the ground.)Apply the rules regarding the use of significant digits after all computations are complete. ​

Accepted Answer

A) 6 ft 
B) 3 ft 
C) 5.6 ft or 52 ft 
D) 52 ft 
E) 2.6 ft or 64 ft

Question 8

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 9

Referring to triangle ABC, find the area of the triangle. Round to three significant digits. S = __________ km²

Accepted Answer

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

Question 10

Referring to triangle ABC, find the area of the triangle. a = 76.6 m, c = 42.7 m, B = 16.1° Round to three significant digits. S = __________ m²

Accepted Answer

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

Question 11

Triangle ABC is described below. Find all possible values for side c .   cm,   cm Round to the appropriate number of significant digits after all computations are complete.  __________ cm

Accepted Answer

The answer of Triangle ABC is described below. Find all...

Question 12

Find the angle θ  between the given vectors to the nearest tenth of a degree.  ​

Accepted Answer

A)   
B) ​  
C) ​  
D) ​  
E) ​

Question 13

Draw the vector V  that goes from the origin to the given point. Then write V  in component form  ​  ​

Accepted Answer

A) ​  
B) ​  
C) ​  
D) ​  
E) ​

Question 14

A ship is anchored off a long straight shoreline that runs north and south. From two observation points 18 miles apart on shore, the bearings of the ship are N 26° E and S 51° E. What is the distance from the ship to each of the observation points? 
​Apply the rules regarding the use of significant digits after all computations are complete. The distance from the ship to the observation point for which the bearing of the ship is N 26° E is __________ mi The distance from the ship to the observation point for which the bearing of the ship is S 51° E is __________ mi

Accepted Answer

The answer of A ship is anchored off a long...

Question 15

Draw the vector V  that goes from the origin to the given point. Then write V  in terms of the unit vectors i  and j .    ​

Accepted Answer

A) ​  
B) ​  
C) ​  
D) ​  
E) ​

Question 16

Find the angle θ  between the given vectors to the nearest tenth of a degree.  ​  __________°

Accepted Answer

The answer of Find the angle θ  between the given...

Question 17

Find the angle θ  between the given vectors to the nearest tenth of a degree.  ​

Accepted Answer

A)   
B) ​  
C) ​  
D) ​  
E) ​

Question 18

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

Accepted Answer

The answer of Refer to triangle ABC . If ...

Question 19

A plane has an airspeed of 175 miles per hour and heading of 30.0°. The ground speed of the plane is 206 miles per hour, and its true course is the direction of 34.0°. Find the speed and direction of the air currents, assuming they are constants. Apply the rules regarding the use of significant digits after all computations are complete.

Accepted Answer

A) 33.3 mph at 55.2° from due to north 
B) 33.3 mph at 54.8° from due to north 
C) 33.7 mph at 54.8° from due to north 
D) 33.7 mph at 55.2° from due to north 
E) 34.5 mph at 54.4° from due to north

Question 20

A woman entering an outside glass elevator on the ground floor of a hotel glances up to the top of the building across the street and notices that the angle of elevation is 50°. She rides the elevator up three floors (60 feet)and finds that the angle of elevation to the top of the building across the street is 34°. How tall is the building across the street? (Give your answer to the nearest foot.) ​

Accepted Answer

A) 139 ft 
B) 138 ft 
C) 141 ft 
D) 136 ft 
E) 142 ft

Exam 7: Triangles

Find the dot product.

The problem that follows refers to triangle ABC . If and inches, find b Apply the rules regarding the use of significant digits.

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

Vector W is in standard position, and makes an angle of with the positive x -axis. Its magnitude is 6. In the following problems, please round your answer to 2 significant digits. Write W in component form . Write W in vector component form

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

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.

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

Referring to triangle ABC, find the area of the triangle. Round to three significant digits. S = __________ km²

Referring to triangle ABC, find the area of the triangle. a = 76.6 m, c = 42.7 m, B = 16.1° Round to three significant digits. S = __________ m²

Triangle ABC is described below. Find all possible values for side c . cm, cm Round to the appropriate number of significant digits after all computations are complete. __________ cm

Find the angle θ between the given vectors to the nearest tenth of a degree.

Draw the vector V that goes from the origin to the given point. Then write V in component form

Draw the vector V that goes from the origin to the given point. Then write V in terms of the unit vectors i and j .

Find the angle θ between the given vectors to the nearest tenth of a degree. __________°

Find the angle θ between the given vectors to the nearest tenth of a degree.

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

Exam 7: Triangles

Find the dot product. ​

The problem that follows refers to triangle ABC . ​ If and inches, find b Apply the rules regarding the use of significant digits. ​

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

Vector W is in standard position, and makes an angle of with the positive x -axis. Its magnitude is 6. In the following problems, please round your answer to 2 significant digits. Write W in component form . ​ Write W in vector component form ​

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

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. ​

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

Referring to triangle ABC, find the area of the triangle. ​ Round to three significant digits. S = __________ km2

Referring to triangle ABC, find the area of the triangle. a = 76.6 m, c = 42.7 m, B = 16.1° Round to three significant digits. S = __________ m2

Triangle ABC is described below. Find all possible values for side c . cm, cm Round to the appropriate number of significant digits after all computations are complete. __________ cm

Find the angle θ between the given vectors to the nearest tenth of a degree. ​

Draw the vector V that goes from the origin to the given point. Then write V in component form ​ ​

Draw the vector V that goes from the origin to the given point. Then write V in terms of the unit vectors i and j . ​

Find the angle θ between the given vectors to the nearest tenth of a degree. ​ __________°

Find the angle θ between the given vectors to the nearest tenth of a degree. ​

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

Find the dot product.

The problem that follows refers to triangle ABC . If and inches, find b Apply the rules regarding the use of significant digits.

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

Vector W is in standard position, and makes an angle of with the positive x -axis. Its magnitude is 6. In the following problems, please round your answer to 2 significant digits. Write W in component form . Write W in vector component form

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

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.

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

Referring to triangle ABC, find the area of the triangle. Round to three significant digits. S = __________ km²

Referring to triangle ABC, find the area of the triangle. a = 76.6 m, c = 42.7 m, B = 16.1° Round to three significant digits. S = __________ m²

Find the angle θ between the given vectors to the nearest tenth of a degree.

Draw the vector V that goes from the origin to the given point. Then write V in component form

Draw the vector V that goes from the origin to the given point. Then write V in terms of the unit vectors i and j .

Find the angle θ between the given vectors to the nearest tenth of a degree. __________°

Find the angle θ between the given vectors to the nearest tenth of a degree.