Question 1

Find || a ||. a = -

Accepted Answer

A)  $\| a \| = \sqrt { 7 }$ 
B)  $\| a \| = \sqrt { 29 }$ 
C)  $\| a \| = \sqrt { 5 }$ 
D)  $\| a \| = \sqrt { 28 }$ 
E)  $\| a \| = \sqrt { 50 }$ 
A)  $\| a \| = \sqrt { 7 }$ 
B)  $\| a \| = \sqrt { 29 }$ 
C)  $\| a \| = \sqrt { 5 }$ 
D)  $\| a \| = \sqrt { 28 }$ 
E)  $\| a \| = \sqrt { 50 }$

Question 2

A straight road makes an angle of $15 ^ { \circ }$ with the horizontal. When the angle of elevation of the sun is $57 ^ { \circ }$ , a vertical pole at the side of the road casts a shadow $d = 77$ feet long directly down the road, as shown in the figure.   Approximate the length of the pole.

Accepted Answer

A)  94.60 ft 
B)  94.90 ft 
C)  62.67 ft 
D)  94.00 ft 
E)  95.50 ft 
A)  94.60 ft 
B)  94.90 ft 
C)  62.67 ft 
D)  94.00 ft 
E)  95.50 ft

Question 3

Find the four fourth roots of $- 2,048 + 2,048 \sqrt { 3 } t$ .

Accepted Answer

A)  $8 \sqrt { 3 } + 8 t , - 8 + 8 \sqrt { 3 } t , - 8 \sqrt { 3 } - 8 t , 8 - 8 \sqrt { 3 } t$ 
B)  $4 \sqrt { 3 } + 4 i , - 4 + 4 \sqrt { 3 } t , + 4 \sqrt { 3 } - 4 t , 4 + 4 \sqrt { 3 } t$ 
C)  $$8 \sqrt { 3 } t , - 8 \sqrt { 3 } + 8 t , - 8 - 8 \sqrt { 3 } t , 8 \sqrt { 3 } - 8 t$$ 
D)  $$4 \sqrt { 3 } + 4 i , - 4 + 4 \sqrt { 3 } t , - 4 \sqrt { 3 } - 4 t , 4 - 4 \sqrt { 3 } t$$ 
E)  $$4 + 4 \sqrt { 3 } i , - 4 \sqrt { 3 } + 4 i , - 4 - 4 \sqrt { 3 } i , 4 \sqrt { 3 } - 4 i$$ 
A)  $8 \sqrt { 3 } + 8 t , - 8 + 8 \sqrt { 3 } t , - 8 \sqrt { 3 } - 8 t , 8 - 8 \sqrt { 3 } t$ 
B)  $4 \sqrt { 3 } + 4 i , - 4 + 4 \sqrt { 3 } t , + 4 \sqrt { 3 } - 4 t , 4 + 4 \sqrt { 3 } t$ 
C)  $$8 \sqrt { 3 } t , - 8 \sqrt { 3 } + 8 t , - 8 - 8 \sqrt { 3 } t , 8 \sqrt { 3 } - 8 t$$ 
D)  $$4 \sqrt { 3 } + 4 i , - 4 + 4 \sqrt { 3 } t , - 4 \sqrt { 3 } - 4 t , 4 - 4 \sqrt { 3 } t$$ 
E)  $$4 + 4 \sqrt { 3 } i , - 4 \sqrt { 3 } + 4 i , - 4 - 4 \sqrt { 3 } i , 4 \sqrt { 3 } - 4 i$$

Question 4

Approximate the area of a parallelogram that has sides of lengths a and b (in feet) if one angle at a vertex has measure $\theta$ . $a = 9.0 , b = 16.0$ $\theta = 40 ^ { \circ }$

Accepted Answer

A)  95.2 
B)  110.3 
C)  89.3 
D)  88.4 
E)  92.6 
A)  95.2 
B)  110.3 
C)  89.3 
D)  88.4 
E)  92.6

Question 5

Shown in the figure is a plan for the top of a wing of a jet fighter, where $a = 35.6$ feet and $b = 29.2$ feet.   Approximate the area of triangle ABC.

Accepted Answer

A)  453.3 ft 2  
B)  452.9 ft 2  
C)  905.7 ft 2  
D)  453.5 ft 2  
E)  453.1 ft 2  
A)  453.3 ft 2  
B)  452.9 ft 2  
C)  905.7 ft 2  
D)  453.5 ft 2  
E)  453.1 ft 2

Find || a ||. a = - < 2, - 5 >

Find the four fourth roots of $- 2,048 + 2,048 \sqrt { 3 } t$ .

Approximate the area of a parallelogram that has sides of lengths a and b (in feet) if one angle at a vertex has measure $\theta$ . $a = 9.0 , b = 16.0$ $\theta = 40 ^ { \circ }$

Shown in the figure is a plan for the top of a wing of a jet fighter, where $a = 35.6$ feet and $b = 29.2$ feet. Approximate the area of triangle ABC.

Topics From Algebra

Functions and Graphs

Polynomial and Rational Functions

Inverse, Exponential, and Logarithmic Functions

Trigonometric Functions

Analytic Trigonometry

Systems of Equations and Inequalities

Sequences, Series, and Probability

Topics From Analytical Geometry

Filters

Exam 7: Applications of Trigonometry

Find || a ||. a = - < 2, - 5 >

Find the four fourth roots of −2,048+2,0483t- 2,048 + 2,048 \sqrt { 3 } t−2,048+2,0483​t .

Approximate the area of a parallelogram that has sides of lengths a and b (in feet) if one angle at a vertex has measure θ\thetaθ . a=9.0,b=16.0a = 9.0 , b = 16.0a=9.0,b=16.0 θ=40∘\theta = 40 ^ { \circ }θ=40∘

Shown in the figure is a plan for the top of a wing of a jet fighter, where a=35.6a = 35.6a=35.6 feet and b=29.2b = 29.2b=29.2 feet. Approximate the area of triangle ABC.

Topics From Algebra

Functions and Graphs

Polynomial and Rational Functions

Inverse, Exponential, and Logarithmic Functions

Trigonometric Functions

Analytic Trigonometry

Systems of Equations and Inequalities

Sequences, Series, and Probability

Topics From Analytical Geometry

Filters

Find the four fourth roots of $- 2,048 + 2,048 \sqrt { 3 } t$ .

Approximate the area of a parallelogram that has sides of lengths a and b (in feet) if one angle at a vertex has measure $\theta$ . $a = 9.0 , b = 16.0$ $\theta = 40 ^ { \circ }$

Shown in the figure is a plan for the top of a wing of a jet fighter, where $a = 35.6$ feet and $b = 29.2$ feet. Approximate the area of triangle ABC.