Question 1

The information below refers to triangle ABC .   m. Find all the missing parts. Apply the rules regarding the use of significant digits after all computations are complete.
​

Accepted Answer

A)    m,   m 
B)    m,   m 
C)    m,   m 
D)    m,   m 
E)    m,   m

Question 2

​​ For the pair of vectors, find   .    ​

Accepted Answer

A)   
B) ​  
C) ​  
D) ​  
E) ​

Question 3

For the pair of vectors, find  .  ​

Accepted Answer

A) 49 
B) 48 
C) 54 
D) 50 
E) 47

Question 4

Find the area of a parallelogram if the two sides measure 24.4 inches and 31.1 inches and the shorter diagonal is 32.2 inches. Round your answer to three significant digits.

Accepted Answer

A) 704 inches S1U1P12S1S1P0 
B) 718 inches S1U1P12S1S1P0 
C) 712 inches S1U1P12S1S1P0 
D) 708 inches S1U1P12S1S1P0 
E) 714 inches S1U1P12S1S1P0

Question 5

A 140-foot antenna is on top of a tall building. From a point on the ground, the angle of elevation to the top of the antenna is 27.5°, while the angle of elevation to the bottom of the antenna from the same point is 22.5°. How tall is the building? Please round to the nearest foot. ​

Accepted Answer

A) 549 ft 
B) 546 ft 
C) 545 ft 
D) 543 ft 
E) 548 ft

Question 6

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

Accepted Answer

A) 120 inches 
B) 140 inches 
C) 96 inches 
D) 110 inches 
E) 130 inches

Question 7

A ship headed due east is moving through the water at a constant speed of 10 miles per hour. However, the true course of the ship is 60°. If the currents are a constant 5.0 miles per hour, what is the ground speed of the ship? Apply the rules regarding the use of significant digits after all computations are complete. ​

Accepted Answer

A) 9 mph or 7 mph 
B) 8.7 mph 
C) 6.7 mph 
D) 7.7 mph or 6.7 mph 
E) 7.7 mph

Question 8

Solve the triangle.  ft,  ft,  ft 
Apply the rules regarding the use of significant digits after all computations are complete. 
A = __________° 
B = __________° 
C = __________°

Accepted Answer

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

Question 9

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 10

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

Accepted Answer

A) ​  
B) ​  
C) ​  
D) ​  
E) ​

Question 11

Find the dot product.  __________

Accepted Answer

The answer of Find the dot product.  __________...

Question 12

The information below refers to triangle ABC .​ If   inches, find C , b  and c . Apply the rules regarding the use of significant digits after all computations are complete.  __________° ​  __________ inches ​  __________ inches

Accepted Answer

The answer of The information below refers to triangle ABC...

Question 13

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

Accepted Answer

A)   
B) ​  
C) ​  
D) ​  
E) ​

Question 14

Find the value of a  so that vectors   and   are perpendicular. ​

Accepted Answer

A)   
B) ​  
C) ​  
D) ​  
E) ​

Question 15

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

Accepted Answer

A)   
B) ​  
C) ​  
D) ​  
E) ​

Question 16

Find the dot product.  ​

Accepted Answer

A) 63 
B) 64 
C) 59 
D) 61 
E) 60

Question 17

The circle in the figure below has a radius of r and center at C . The distance from A to B is x , the distance from A to D is y , and the length of arc BD is s . For the following problem, redraw the figure, label it with the values given, and then solve. ​If   and  , find x . Apply the rules regarding the use of significant digits after all computations are complete.  ​

Accepted Answer

A)   
B)   
C)   
D)   
E)

Question 18

For the pair of vectors, find  ​  ​  __________

Accepted Answer

The answer of For the pair of vectors, find ...

Question 19

Find the magnitude of the vector.  ​

Accepted Answer

A) ​  
B) ​  
C) ​  
D)   
E) ​

Question 20

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

Accepted Answer

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

Exam 7: Triangles

The information below refers to triangle ABC . m. Find all the missing parts. Apply the rules regarding the use of significant digits after all computations are complete.

For the pair of vectors, find .

For the pair of vectors, find .

Find the area of a parallelogram if the two sides measure 24.4 inches and 31.1 inches and the shorter diagonal is 32.2 inches. Round your answer to three significant digits.

A 140-foot antenna is on top of a tall building. From a point on the ground, the angle of elevation to the top of the antenna is 27.5°, while the angle of elevation to the bottom of the antenna from the same point is 22.5°. How tall is the building? Please round to the nearest foot.

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

Solve the triangle. ft, ft, ft Apply the rules regarding the use of significant digits after all computations are complete. A = ° B = ° C = __°

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

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

Find the dot product. __________

The information below refers to triangle ABC . If inches, find C , b and c . Apply the rules regarding the use of significant digits after all computations are complete. ° inches __ inches

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

Find the value of a so that vectors and are perpendicular.

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

Find the dot product.

For the pair of vectors, find __________

Find the magnitude of the vector.

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

Exam 7: Triangles

The information below refers to triangle ABC . m. Find all the missing parts. Apply the rules regarding the use of significant digits after all computations are complete. ​

​​ For the pair of vectors, find . ​

For the pair of vectors, find . ​

Find the area of a parallelogram if the two sides measure 24.4 inches and 31.1 inches and the shorter diagonal is 32.2 inches. Round your answer to three significant digits.

A 140-foot antenna is on top of a tall building. From a point on the ground, the angle of elevation to the top of the antenna is 27.5°, while the angle of elevation to the bottom of the antenna from the same point is 22.5°. How tall is the building? Please round to the nearest foot. ​

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

Solve the triangle. ft, ft, ft Apply the rules regarding the use of significant digits after all computations are complete. A = __________° B = __________° C = __________°

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

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

Find the dot product. __________

The information below refers to triangle ABC .​ If inches, find C , b and c . Apply the rules regarding the use of significant digits after all computations are complete. __________° ​ __________ inches ​ __________ inches

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

Find the value of a so that vectors and are perpendicular. ​

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

Find the dot product. ​

For the pair of vectors, find ​ ​ __________

Find the magnitude of the vector. ​

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

The information below refers to triangle ABC . m. Find all the missing parts. Apply the rules regarding the use of significant digits after all computations are complete.

For the pair of vectors, find .

For the pair of vectors, find .

A 140-foot antenna is on top of a tall building. From a point on the ground, the angle of elevation to the top of the antenna is 27.5°, while the angle of elevation to the bottom of the antenna from the same point is 22.5°. How tall is the building? Please round to the nearest foot.

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

Solve the triangle. ft, ft, ft Apply the rules regarding the use of significant digits after all computations are complete. A = ° B = ° C = __°

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

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

The information below refers to triangle ABC . If inches, find C , b and c . Apply the rules regarding the use of significant digits after all computations are complete. ° inches __ inches

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

Find the value of a so that vectors and are perpendicular.

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

Find the dot product.

For the pair of vectors, find __________

Find the magnitude of the vector.