Law of Sines (Sec 8-3) — Unit test Answers

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Which of the following represents the measures of all angles coterminal with a –220° angle?

A
360 + 140n, for any whole number n
B
360 + 140n, for any integer n
C
140+ 360n, for any whole number n
D
140 + 360n, for any integer n
5

On a unit circle, the vertical distance from the x-axis to a point on the perimeter of the circle is twice the horizontal distance from the y-axis to the same point. What is sin?

Question illustration
A
One-fifth
Option A
B
StartFraction StartRoot 5 EndRoot Over 5 EndFraction
Option B
C
StartFraction 2 StartRoot 5 EndRoot Over 5 EndFraction
Option C
D
2
Option D
6

A circle has a central angle measuring radians that intersects an arc of length 18 cm. What is the length of the radius of the circle? Round your answer to the nearest tenth. Use 3.14 for .

Question illustration
A
3.7 cm
B
4.9 cm
C
14.3 cm
D
15.4 cm
7

What is the area of triangle ABC? Round to the nearest square unit.

Question illustration
A
8 square units
B
15 square units
C
33 square units
D
618 square units
8

Heron’s formula: Area =

Question illustration
A
square units
Option A
B
square units
Option B
C
square units
Option C
D
square units
Option D
10

Law of sines:

Question illustration
A
StartFraction sine (51 degrees) Over 2.6 EndFraction = StartFraction sine (76 degrees) Over z EndFraction
Option A
B
StartFraction sine (51 degrees) Over 2.6 EndFraction = StartFraction sine (53 degrees) Over z EndFraction
Option B
C
StartFraction sine (76 degrees) Over 2.6 EndFraction = StartFraction sine (51 degrees) Over z EndFraction
Option C
D
StartFraction sine (76 degrees) Over 2.6 EndFraction = StartFraction sine (53 degrees) Over z EndFraction
Option D
15

Which measure is of an angle that is coterminal with a 95° angle?

A
95° – (1,450n)°, for any integer n
B
95° – (1,080n)°, for any integer n
C
95° – (780n)°, for any integer n
D
95° – (340n)°, for any integer n

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