Question

On a clear day you can see about 25.2 miles from the upper observation platform of the Eiffel tower in Paris. Using the formula below, estimate the height in feet, h, of the upper observation platform.


`d=(5)/(6) √(h)`

A. 875 feet
B. 4.2 miles
C. 529 feet
D. 914 feet

Answer 1

D. 914 feet

Explanation:

We are given the distance that a person can see on a clear day from the upper observation platform of the Eiffel tower in Paris. We are then required to estimate the height of the upper observation platform using the formula;

`d=(5)/(6)√(h)`

Where d is the distance and h the height of the upper observation platform. The first step would be to solve for h, that is make h the subject of the formula in the above equation;

We multiply both sides of the equation by the reciprocal of 5/6 which is 6/5;

`√(h)=(6)/(5)d`

The next step is to eliminate the square root on the Left Hand Side of the equation by squaring both sides;

`h=1.44d^(2)`

Given d is 25.2, h becomes;

`h=1.44*25.2^(2)\\h=914.4576`

To the nearest whole number, h becomes 914