The optimal height h of the letters of a message printed on pavement is given by the formula [tex]h = \frac{0.00252 d^{2.27}}{e}[/tex]. Here d is the distance of the driver from the letters and e is the height of the driver's eye above the pavement. All of the distances are in meters. Find h for the given values of d and e.
d = 92.4 m, e = 1.7 m.

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FelisFelis FelisFelis · Answer 1 · 2020-02-05T05:32:53+01:00

Answer:

The value of h is 42.956 approximately.

Step-by-step explanation:

Consider the provided formula [tex]h=\dfrac{0.00252 d^{2.27}}{e}.[/tex]

Here d is the distance of the driver from the letters and e is the height of the driver's eye above the pavement. All of the distances are in meters.

We need to find the value of h where the value of d = 92.4 m, e = 1.7 m.

Substitute d = 92.4 m, e = 1.7 m in above formula and solve for h.

[tex]h=\dfrac{0.00252\left(92.4\right)^{2.27}}{1.7}[/tex]

[tex]h\approx\dfrac{0.00252\left(28978.4648\right)}{1.7}[/tex]

[tex]h\approx\dfrac{73.0257}{1.7}[/tex]

[tex]h\approx42.956[/tex]

Hence, the value of h is 42.956 approximately.