Download Final Exam Review Questions: Chapter 6

Boris Krassovski
James Michel
Matthis Feischen
Final Exam Review Questions: Chapter 6
Sectors/Arcs
1. Find the measure of the angle  in degrees
5

10
2. Find the area of sector F
7
π/2
F
Circular Motion
1. A ceiling fan with 65 cm blades rotates at 50 rpm
a) Find the angular speed of the fan in rad/min
b) Find the linear speed of the tips of the blades in cm/min
2. The wheels of a car have a diameter of 24 in. and are rotating at
680 rpm. Find the speed of the car in mph.
Boris Krassovski
James Michel
Matthis Feischen
Right Triangles
1. Find the exact values of the six trigonometric ratios of the angle θ
in the triangle
40
θ
41
2. A 13 m ladder leans against a building so that the angle between
the ground and the ladder is 76°. How high does the ladder reach on
the building?
3. Evaluate the expression
(sin 30°)2 + (cos 30°)2
4. Find the exact value of each trigonometric function
a) sin 150°
b) csc 45°
c) cos (-π/2)
Boris Krassovski
James Michel
Matthis Feischen
Law of Sines
1. Solve the triangle using the Law of Sines
46°
56.3
20°
2. Use the Law of Sines to solve for all possible triangles that satisfy the
given condition
a) a=28 b=15 A=110°
b) a=20 c=45 C=38
c) b=45 c=42 C=32
3. Points A and B are separated by a river. To find the distance between
them, a surveyor locates a point C on land such that CAB=48.6°. He also
measures the CA as 312 ft and CB as 512 ft. Find the distance between A and
B.
Law of Cosines
1. Solve the triangle ABC
a) a = 3.0 b = 4.0 C=53°
b) a = 20 b = 25 c = 22
c) a = 65 c = 50 C = 52°
2. A parallelogram has sides of lengths 3 and 5, and one angle is 50°. Find
the lengths of the diagonals.