Answer:
D. 914 feet
Step-by-step 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;
[tex]d=\frac{5}{6}\sqrt{h}[/tex]
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;
[tex]\sqrt{h}=\frac{6}{5}d[/tex]
The next step is to eliminate the square root on the Left Hand Side of the equation by squaring both sides;
[tex]h=1.44d^{2}[/tex]
Given d is 25.2, h becomes;
[tex]h=1.44*25.2^{2}\\h=914.4576[/tex]
To the nearest whole number, h becomes 914
