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anygoal
7 days ago
6

Julia is standing 2 feet away from a lamppost. If she casts a shadow of 5 feet and the light makes a 20° angle relative to the g

round from the top of her shadow, how tall is the lamppost?

Mathematics
1 answer:
lawyer [11.1K]7 days ago
5 0

Response:

2.5477 feet

Detailed explanation:

Refer to the attached image for further clarification of my solution.

BC represents the height of the lamppost.

DE = Julia

AD signifies Julia's shadow

BD = 2 feet. AD = 5 feet

BA = BD + AD

= 2 + 5 = 7 feet

In triangle ABC

tan 20° = \frac{BC}{BA} = \frac{BC}{7}

BC = 7 * tan 20°

BC = 2.5477 feet

Thus, the height of the lamppost = 2.5477 feet

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