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You are visiting the Unisphere at Flushing Meadow Park in New York. To estimate the height of the stainless steel model of Earth, you place a mirror on the ground and stand where you can see the top of the model in the mirror. The Unisphere is 100 feet from the mirror and you are standing 4 feet from the mirror. If your height is 5.6 feet, what is the estimated height of the Unisphere?


A140 feet

C2,240 feet

B22.4 feet

D71 feet

Verified Answer :

portt

I just took it it's A.140 ft

JeanaShupp

Answer: a. 140 feet

Step-by-step explanation:

Let x be the estimated height of Unisphere.

According to the question, both man and Unishpere are standing vertiacl to the ground , and such that making the same angle with the ground.

Therefore, they are making similar triangles.

We know that the corresponding sides of similar triangle are proportional,

\(\Rightarrow\frac{\text{height of Unisphere}}{\text{distance of Unisphere from mirror}}=\frac{\text{height of person}}{\text{distance of person from mirror}}\\\\\Rightarrow\ \frac{x}{100}=\frac{5.6}{4}\\\\\Rightarrow x=\frac{5.6\times100}{4}\\\\\Rightarrow x=140\)

Hence, the estimated height of the tree = 140 ft.

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