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Geometry
GRWksht7.4-7.7
Chapter 7 Review Sections 4 through Section 7
Name _________________________________hr __
Date ____/____/____ Score:
Find the indicated trigonometric ratio as a fraction and as a decimal. If necessary, round the decimal to the
nearest ten-thousandth. Then find the measure of the angle to the nearest tenth.
1. sin A =________
2. tan C=________
decimal : __________
decimal : __________
mA = __________
mC = __________
3. cos A =________
4. cos C=________
decimal : __________
decimal : __________
mA = __________
mC = __________
Use sine, cosine or tangent to find the measure of x and y. Work must be shown. Round answers to the nearest
tenth.
5.
6.
7.
x = __________
x = __________
x =__________
28
8.
9.
x
15
x
23
y
71
y
x = __________
x = __________
y = __________
y = __________
Solve each problem. Round answers to the nearest tenth.
10. A roofer props a ladder against a wall so that
the top of the ladder reaches a 30-foot roof that
needs repair. If the angle of elevation from the
bottom of the ladder to the roof is 55 degrees,
how far is the ladder from the base of the wall?
11. The town of Belmont restricts the height of
flagpoles to 25 feet on any property. Lindsay wants
to determine whether her school is in compliance
with the regulation. Her eye level is 5.5 feet from the
ground and she stands 36 feet from the flagpole. If
the angle of elevation is about 25 degrees,
what is the height of the flagpole?
The ladder is ____________ from the wall.
The height of the flagpole is ____________.
12. A student can see a water tower from the edge
of the soccer field. The soccer field is 110 feet from
the water tower and the tower stands at a height of
32.5 feet. What is the angle of elevation if the eye
level of the student viewing the tower is 6 feet above
the ground?
13. A sledding run is 300 yards long with a vertical
drop of 27.6 yards. Find the angle of depression
of the run.
The angle of elevation is ____________.
The angle of depression is ____________.
Find each measure of ABC using the law of sines. Round each measure to the nearest tenth.
14. If mA = 35, mB = 48, and b = 28, find a.
15. If a = 17, b = 8, and mA = 73, find mB.
a = __________
mB = __________
Solve each ∆PQR described below. Round measures to the nearest tenth. Start with the law of sines.
16. p = 27, q = 40, mP = 33
17. q = 12, r = 11, mR = 16
mP=
mQ=
mR=
mP=
mQ=
mR=
p=
q=
r=
p=
q=
r=
18. In ABC, a = 5, b = 8, mC = 39, find the measure of c to the nearest tenth using the law of cosines.
c = __________
19. In ABC, a = 12, b = 18, c = 7 find mA to the nearest tenth using the law of cosines.
mA = __________