Question 1

A searchlight rotates through one complete revolution every 2 seconds. How long does it take the light to rotate through 180°? __________ sec.

Accepted Answer

The answer of A searchlight rotates through one complete revolution...

Question 2

Find A  if B = 20° and  α +  β = 100°.  Remember: The sum of the three angles in any triangle is always 180°. A = __________°

Accepted Answer

The answer of Find A  if B = 20° and  α + ...

Question 3

Find r  if AB = 18 and AD = 30.

Accepted Answer

The answer of Find r  if AB = 18 and AD = 30....

Question 4

Solve for x .  a = 2,

Accepted Answer

The answer of Solve for x .  a =...

Question 5

Find the remaining side of a 45° - 45° - 90° triangle if the shorter sides are each

Accepted Answer

The answer of Find the remaining side of a 45° -...

Question 6

Find the remaining sides of a 30° - 60° - 90° triangle if the longest side is 15.

Accepted Answer

The answer of Find the remaining sides of a 30° -...

Question 7

Suppose ABC  is a right triangle with C = 90°. If a = 15 and b = 8, find c .

Accepted Answer

The answer of Suppose ABC  is a right triangle with...

Question 8

Find the remaining sides of a 30° - 60° - 90° triangle if the side opposite 60° is 9.

Accepted Answer

The answer of Find the remaining sides of a 30° -...

Question 9

The object shown in the figure is a cube (all edges are equal in length).  Suppose the length of the diagonal AH  in the figure is  feet. What is the length of edge AB ?

Accepted Answer

The answer of The object shown in the figure is...

Question 10

An escalator in a department store is to carry people a vertical distance of 19 feet between floors. How long is the escalator if it makes an angle of 30ᵒ with the ground? __________ feet.

Accepted Answer

The answer of An escalator in a department store is...

Question 11

An isosceles triangle is a triangle in which two sides are equal in length. The angle between the two equal sides is called the vertex angle, while the other two angles are called the base angles. If the vertex angle is 40°, what is the measure of the base angles? __________°

Accepted Answer

The answer of An isosceles triangle is a triangle in...

Question 12

Indicate if the angle 100° is acute or obtuse. __________ 
Give the complement angle. __________° 
Give the supplement angle. __________°

Accepted Answer

The answer of Indicate if the angle 100° is acute or...

Question 13

Find the remaining sides of a 45° - 45° - 90° triangle if the longest side is 20.

Accepted Answer

The answer of Find the remaining sides of a 45° -...

Question 14

Solve for x .

Accepted Answer

The answer of Solve for x . ...

Question 15

Find AB  if BC = 3, BD = 5, and AD = 7.  Simplify the answer. Do not convert to decimal form.

Accepted Answer

The answer of Find AB  if BC = 3, BD...

Question 16

Give the complement angle of angle x . __________ 
Give the supplement angle of angle x . __________

Accepted Answer

The answer of Give the complement angle of angle x...

Question 17

Suppose ABC  is a right triangle with C = 90°. If a = 12 and c = 15, find b .

Accepted Answer

The answer of Suppose ABC  is a right triangle with...

Question 18

Find  α  if A  = α .  Remember: The sum of the three angles in any triangle is always 180°. α = __________°

Accepted Answer

The answer of Find  α  if A  = α ....

Question 19

Graph the following circle. 
A)​  
B)​  
C)​  
D)​ 
E)​

Accepted Answer

The answer of Graph the following circle. 
A)​  
B)​  
C)​ ...

Question 20

The figure shows a walkway with a handrail. Angle α  is the angle between the walkway and the horizontal, while angle  β  is the angle between the vertical posts of the handrail and the walkway. Assume that the vertical posts are perpendicular to the horizontal.  Find  α  if  β = 55°. α = __________°

Accepted Answer

The answer of The figure shows a walkway with a...

Quiz 1: The Six Trigonometric Functions

A searchlight rotates through one complete revolution every 2 seconds. How long does it take the light to rotate through 180°? __________ sec.

Find A if B = 20° and α + β = 100°. Remember: The sum of the three angles in any triangle is always 180°. A = __________°

Find r if AB = 18 and AD = 30.

Solve for x . a = 2,

Find the remaining side of a 45° - 45° - 90° triangle if the shorter sides are each

Find the remaining sides of a 30° - 60° - 90° triangle if the longest side is 15.

Suppose ABC is a right triangle with C = 90°. If a = 15 and b = 8, find c .

Find the remaining sides of a 30° - 60° - 90° triangle if the side opposite 60° is 9.

The object shown in the figure is a cube (all edges are equal in length). Suppose the length of the diagonal AH in the figure is feet. What is the length of edge AB ?

An escalator in a department store is to carry people a vertical distance of 19 feet between floors. How long is the escalator if it makes an angle of 30ᵒ with the ground? __________ feet.

An isosceles triangle is a triangle in which two sides are equal in length. The angle between the two equal sides is called the vertex angle, while the other two angles are called the base angles. If the vertex angle is 40°, what is the measure of the base angles? __________°

Indicate if the angle 100° is acute or obtuse. Give the complement angle. ° Give the supplement angle. __°

Find the remaining sides of a 45° - 45° - 90° triangle if the longest side is 20.

Solve for x .

Find AB if BC = 3, BD = 5, and AD = 7. Simplify the answer. Do not convert to decimal form.

Give the complement angle of angle x . Give the supplement angle of angle x .

Suppose ABC is a right triangle with C = 90°. If a = 12 and c = 15, find b .

Find α if A = α . Remember: The sum of the three angles in any triangle is always 180°. α = __________°

Graph the following circle.

Quiz 1: The Six Trigonometric Functions

A searchlight rotates through one complete revolution every 2 seconds. How long does it take the light to rotate through 180°? __________ sec.

Find A if B = 20° and α + β = 100°. Remember: The sum of the three angles in any triangle is always 180°. A = __________°

Find r if AB = 18 and AD = 30.

Solve for x . a = 2,

Find the remaining side of a 45° - 45° - 90° triangle if the shorter sides are each

Find the remaining sides of a 30° - 60° - 90° triangle if the longest side is 15.

Suppose ABC is a right triangle with C = 90°. If a = 15 and b = 8, find c .

Find the remaining sides of a 30° - 60° - 90° triangle if the side opposite 60° is 9.

The object shown in the figure is a cube (all edges are equal in length). Suppose the length of the diagonal AH in the figure is feet. What is the length of edge AB ?

An escalator in a department store is to carry people a vertical distance of 19 feet between floors. How long is the escalator if it makes an angle of 30ᵒ with the ground? __________ feet.

An isosceles triangle is a triangle in which two sides are equal in length. The angle between the two equal sides is called the vertex angle, while the other two angles are called the base angles. If the vertex angle is 40°, what is the measure of the base angles? __________°

Indicate if the angle 100° is acute or obtuse. __________ Give the complement angle. __________° Give the supplement angle. __________°

Find the remaining sides of a 45° - 45° - 90° triangle if the longest side is 20.

Solve for x .

Find AB if BC = 3, BD = 5, and AD = 7. Simplify the answer. Do not convert to decimal form.

Give the complement angle of angle x . __________ Give the supplement angle of angle x . __________

Suppose ABC is a right triangle with C = 90°. If a = 12 and c = 15, find b .

Find α if A = α . Remember: The sum of the three angles in any triangle is always 180°. α = __________°

Graph the following circle.

Indicate if the angle 100° is acute or obtuse. Give the complement angle. ° Give the supplement angle. __°

Give the complement angle of angle x . Give the supplement angle of angle x .