Geometry Ch' 8 Review

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Geometry Ch. 8 Review
1) Find the geometric mean(s) between 3
and 108
x2 324
x 18 or -18
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GeometryCh. 8 Review
2) Solve for x
72 (3)(x)
49 3x
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GeometryCh. 8 Review
3) Solve for x
x2 (5)(18)
x2 90
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GeometryCh. 8 Review
4) Solve for x
x2 (8)(31)
x2 248
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GeometryCh. 8 Review
5) Solve for x
92 (4)(x4)
4x 16 81
4x 65
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GeometryCh. 8 Review
6) Solve for x
152 (x)(x16)
x2 16x 225
x2 16x 225 0
x 9
(x25)(x-9) 0
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GeometryCh. 8 Review
7) Solve the following triangle. (Round
all sides angles to the nearest 1/10)
27
3.3
6.4
a 3.2687
b 6.4152
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GeometryCh. 8 Review
8) Solve the following triangle. (Round
all sides angles to the nearest 1/10)
49
13.7
18.1
b 13.6894
c 18.1386
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GeometryCh. 8 Review
9) How far is it across the lake from point
B to point C? (Round to 2 places.)
x
x 4.27 miles
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GeometryCh. 8 Review
10) A person stands 100 from the base of a
building. The angle of elevation to the sun is
29. How tall is the building?
h
h 55.43 feet
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GeometryCh. 8 Review
11) A lighthouse is 142 tall. A boat is
sighted at an angle of depression of 41.
How far is this boat from the base of the
lighthouse?
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GeometryCh. 8 Review
12) Solve the following triangle. (Round
all sides angles to the nearest 1/10)
A
m?A
53.8
53.8
26.8
m?B
76
b
B
C
22.3
sin ?A .8073729
m?A 53.8400486
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GeometryCh. 8 Review
12) Solve the following triangle. (Round
all sides angles to the nearest 1/10)
A
m?A
53.8
53.8
26.8
m?B
76
b
B
C
22.3
b 21.2
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GeometryCh. 8 Review
13) Solve the following triangle. (Round
all sides angles to the nearest 1/10)
The 3 angles in any trianglealways add up to
180.
28.2
36.8
c2 12.72 16.12 2(12.7)(16.1)(cos 115o)
c2 593.325512
c 24.35827399
sin ?A .47253
m?A 28.1989
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GeometryCh. 8 Review
14) Write vector AB in component form,
then find its magnitude direction (Round
your answers to one decimal place.)
A (-9,2)B (-1,-5)
component form lt8,-7gt
magnitude
10.6
direction tan-1(7/8) 41.2 S of E
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GeometryCh. 8 Review
15) A boat travels west at 22 MPH across a large
river. A wind is blowing from south to north,
causing a 4 MPH current to form. Find the
resultant velocity and direction of the boat
222 42 r2
4
r2 500
22
r 22.4 MPH
direction tan-1(4/22) 10.3 N of W