NAME______________________________________DATE______________________
ALGEBRA2
CHAPTER 14 REVIEW SHEET
MRS. BINASO
1. In ABC, b = 5, c = 4, and cos A = 4/5. Find a to the nearest tenth.
2. In RST, r = 4, s = 5, and t = 6. Find the cosine of the greatest angle.
3. In DEF, d = 10, e = 8, and m<F = 60. Find f to the nearest tenth.
4. In DEF, e = 4, f = 8, and m<D = 120. Find d to the nearest hundredth.
5. In PQR, p = 7, q = 5, and r = 8. Find m<P to the nearest degree.
6. In PQR, p = 7, q = 5, and r = 8. Find m<Q to the nearest degree.
7. Two adjacent sides of a parallelogram are 6cm and 8cm and an angle of the
parallelogram is 120. Find the length of the longer diagonal to the nearest cm.
8. In ABC, b = 20, sin B = 2/3, and sin C = 1/2. Find c to the nearest integer.
9. In ABC, m<B = 30, and b = c = 14. Find a to the nearest tenth.
10. In ABC, m<A = 45, a = 12, and b = 16. Find m<B to the nearest degree.
11. In ABC, m<B = 45, m<C = 60, and c = 12. Find b to the nearest tenth.
12. Two angles of a triangle measure 40 and 56. If the longest side is 28cm, find the
length of the shortest side.
13. In ABC, m<A = 38, b = 10, and a =8. Determine the number of triangles that can
be constructed.
14. In ABC, m<A = 135, b = 15, and a = 13. Determine the number of triangles that
can be constructed.
15. Two forces of 18 lb and 20 lb act on a body at an angle of 120. Find the
magnitude of the resultant force.
16. The resultant of two forces acting on a body has a magnitude of 80 lb. The angles
between the resultant and the forces are 20 and 52. Find the magnitude of the
larger force.
17. In ABC, a = 8, b = 9, and sin C = 1/4. Find the exact area of ABC.
18. In ABC, b = 16, c = 18, and m<A = 150. Find the exact area of ABC.
19. In DEF, d = 12, e = 12, and m<F = 50. Find, to the nearest tenth, the area of
DEF.
20. Two sides of parallelogram ABCD are 14 and 18 and m<A = 60. Find, to the
nearest tenth, the area of parallelogram ABCD.
21. If the area of ABC is 21 square units, find sin A if b = 14 and c = 9.
22. If the area of ABC is 90 square units, find a if b = 20 and m<C = 150.
23. The area of a triangle is 108 cm2 and the lengths of two sides are 18 and 24 cm.
Find, to the nearest degree, the measure of the included angle if it is acute.
24. In ABC, b = 10, m<A = 60, and c = 14.
a) Find a to the nearest tenth.
b) Find m<B to the nearest degree.
c) Find m<C to the nearest degree.
25. In ABC, a = 8, b = 12, and c = 15.
a) Find m<A to the nearest degree.
b) Find m<B to the nearest degree.
c) Find m<C to the nearest degree.
26. The angle of elevation to the top of a building from a point on the ground is 3820’.
From a point 50 feet closer to the building, the angle of elevation is 45. What is
the height of the building?
27. Two observers 200 feet apart are in line with the base of a flagpole. The angle of
elevation of the top from one observer is 30 and from the other 60. How far is
the flagpole from each observer?