Question

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?

a. 140 feet

c. 2,240 feet

b. 22.4 feet

d. 71 feet

Answer 1

I just took it it's A.140 ft

Answer 2

Answer: a. 140 feet

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\ (x)/(100)=(5.6)/(4)\\\\\Rightarrow x=(5.6*100)/(4)\\\\\Rightarrow x=140`

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