171k views
4 votes
A telephone pole is 45 feet tall and casts a 20

foot shadow. A street lamp next to the
telephone pole casts a 12 foot shadow.
Calculate the height of the street lamp.

User Mtotschnig
by
7.8k points

2 Answers

2 votes

Answer:

The height of the street lamp is 27 feet tall, hope this helps! :D

Explanation:

User Karl Entwistle
by
7.9k points
5 votes
Create a proportion for this problem.

45 feet pole. x
——————- = ——————
20 foot shadow. 12 foot shadow

Cross multiply.

20x = 540

Divide both sides by 20 to isolate x.

x = 27

Answer: The height of the street lamp is 27 feet tall.
User Vishavjeet Singh
by
8.4k points
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