1.
A guy wire is attached to the top of a telephone pole and goes to the ground 8 feet from the base. When Jim stands under the guy wire so that his head touches it, he is 3 feet from where the wire goes into the ground. If Jim is 6 feet tall, how tall is the telephone pole?
A.
24 feet
B.
12 feet
C.
20 feet
D.
16 feet
Hint
2.
A staff's shadow is 8 feet and a tree's shadow is 16 feet. If the staff is 9 feet tall, how tall is the tree?
A.
18 ft
B.
15 ft
C.
9 ft
D.
12 ft
Hint
3.
Assume the triangles are similar. What is the value of
x
?
A.
5
B.
10
C.
3.2
D.
20
Hint
4.
A lakefront building that is 30 feet high casts a shadow on the water. How long is that shadow if a 16-foot high truck parked nearby casts an 8-foot shadow?
A.
15 ft
B.
13 ft
C.
12 ft
D.
9 ft
Hint
5.
An office building casts a shadow that is 15 feet long. A nearby tree casts a shadow that is 2.5 feet long. If the tree is 5 feet tall, how tall is the office building?
A.
25 feet
B.
17.5 feet
C.
7.5 feet
D.
30 feet
Hint