The shadow of a 5-foot tall post is 10 feet long. At the same time, a tree casts a shadow that is 24 feet long. What is the heig
ht of the tree?
A.
14 feet
В.
12 feet
C.
18 feet
D. 2 feet
1 answer:
Answer:
C. 12 feet.
Step-by-step explanation:
The lamp post has a shadow that's twice as long as it'a actual height. The tree's shadow is 24 feet long, so it would be 24/2, which is 12 feet.
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y = r*sin(theta)
so if y = 2, then
2 = r*sin(theta)
Divide both sides by sin(theta) to get
r = 2/sin(theta)
r = 2csc(theta)
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= 0.045
= 45/1000
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