Question

On a clear day you can see about 27 miles from the observation deck of the Empire State Building in New York City. Using the formula below, estimate the height in feet ,h, of the observation deck.

Answer 1

The answer is 1050 or answer c. Goodluck on the rest of the quiz

Answer 2

Explanation:

Alright, lets get started.

Distance we can see from the building d is given as 27 miles.

We are asked to find height of the building h

The formula is given as
`d=(5)/(6)√(h)`

Plugging the value of d

`27=(5)/(6)√(h)`

Cross multiplying

`√(h)=(6)/(5)*27`

`√(h)=32.4`

Taking square root on both sides

`h=1049.76`

So, the height of the observation desk is 1050 feet. : Answer

Hope it will help :)