1.
A tree that is 5 feet tall casts a shadow 2 feet long. A nearby building casts a shadow that is 20 feet long. How tall is the building?
A.
20 ft
B.
10 ft
C.
50 ft
D.
0.5 ft
Hint
2.
Find cos 42° to the nearest thousandth.
A.
0.743
B.
0.669
C.
0.900
D.
-0.399
Hint
3.
Simplify
.
A.
B.
C.
D.
Hint
4.
Simplify
.
A.
B.
C.
D.
Hint
5.
Solve
.
A.
-1
B.
5
C.
0
D.
no real solution
Hint
6.
Find the distance between points with coordinates (3, -4) and (-6, 5).
A.
B.
C.
D.
Hint
7.
The distance between the points with coordinates (3, 7) and (-2,
a
) is
units. Find the value of
a
.
A.
-1 or -13
B.
-1 or 1
C.
1 or 13
D.
-1 or 13
Hint
8.
Find the result of
A.
B.
C.
D.
Hint
9.
What is the area of a square whose sides measure
meters?
A.
B.
C.
D.
Hint
10.
Solve
.
A.
{1, –1}
B.
no solution
C.
–1
D.
1
Hint
11.
Consider a right triangle whose height is 12 feet and whose hypotenuse is 15 feet. What is the area of the triangle?
A.
108 feet
B.
90 feet
C.
180 feet
D.
54 feet
Hint
12.
Which of the following is not a necessary condition of all right triangles?
A.
The largest angle is 90°.
B.
The square of the length of the hypotenuse is equal to the sum of the squares of the lengths of the legs.
C.
a
<
b
D.
a
2
+
b
2
=
c
2
, where
c
is the length of the hypotenuse, and
a
and
b
are the lengths of the legs.
Hint
13.
Which of the following is not necessarily true concerning similar triangles?
A.
Each triangle has angles whose sum is 180°.
B.
The measures of their corresponding sides are proportional.
C.
The measures of their corresponding angles are equal.
D.
The measures of their corresponding sides are equal.
Hint
14.
Libby looked out of her airplane window at a 32° angle with respect to the horizontal, and saw the Sears Tower building in Chicago. If the airplane had an altitude of 4000 feet, how far away were they from being directly over Chicago?
A.
2499 ft.
B.
9900 ft.
C.
6401 ft.
D.
1616 ft.
Hint