Chapter 8 Practice Test
1. The lengths of three sides of a triangle are given. Describe each triangle as acute, right, or obtuse.
14, 48, 50
a.
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r(q
b. 5, 7, V11
z,
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7.,. Z.1--
200
2.
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Find the values of the van bles. Leave your answers in simplest radical form.
a.
b.
c.
d.
,
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c.)
Z,(76.1%
da
3.
Find sin E , cos E, and tan E.
b.
10
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t--5
°
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c
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c,0
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4.
Find the value of x. Round lengths of segments to the nearest tenth and angle measures to the nearest degree.
a.
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c_oS
z-y
`L
5.
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Describe each angle as it relates to the objects in the diagram.
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6.
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iy\
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A person standing 20 feet from a flag pole can see the top of the pole at a 41° angle of elevation. The
person's eye level is 5 feet off the ground. Find the height of the flag pole to the nearest foot.
17
ci-
7.
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Sc--t- •
An airplane pilot can see the top of a traffic control tower at a 25° angle of depression. The airplane
is 6,250 feet from the tower. How far above the tower is the airplane?
x
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8. Two office buildings are 62 m apart. The height of the taller building is 218 m. The angle of depression from the top of the taller building to the top of the shorter building is 18°. Find the height of the
shorter building.
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l
\
2 (6 1\-•
9. Ben paddles a canoe east 6.5 miles then south 4 miles. How far in a straight line would he have to
travel to reach his starting point?
10. Find the values of the variables. Leave your answers in simplest radical form.
10 Nri
b.
a.
c.
‘0 X
600
f.
e.
R
11. Find the perimeter of the trapezoid.
3
12. If tan LM = —, find cos LM.
4
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13. Find the value of each variable to the nearest tenth.
an
3
C
28
-
14,3
cA_
a
14. Given that RECT is a rectangle, ET = 26, and RT = 24, find sin z.RET and cos LRET.
t
cos Aktl-
12
t
,3
15. Find the values of the variables. Leave your answers in simplest radical form.
_3
16. A ladder is leaning up against a wall. The bottom of the ladder is 8 feet from the wall, and the top of
the ladder is 15 feet above the ground. How long is the ladder?