SOLUTION: okay i need help on how to SOLVE this word problem please:, The optimal height (H) of the letters of a message printed on pavement is given by the formula H=0.00252(d)^2.27/

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Question 711587: okay i need help on how to SOLVE this word problem please:,

The optimal height (H) of the letters of a message printed on pavement is given by the formula
H=0.00252(d)^2.27/(E). 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 vales of (d) and (E).
what is (H)?, when is d=50 m and is E=1.2 m



Answer by KMST(5328) About Me  (Show Source):
You can put this solution on YOUR website!
You have a formula to calculate H.
All you have to do is plug into that formula the values given for d and E.

As I read it, the formula is
H=0.00252d%5E2.27%2FE, with just 2.27 as the exponent
Substituting d=50 and E=1.2 we get
H=0.00252%2A50%5E2.27%2F1.2=15 (rounded)
so the letters would have to be 15 meters tall.
That is very tall, but very tall letters may be needed for such a long distance.

If the formula was really
H=0.00252d%5E%28%282.27%2FE%29%29%5Einstead, with 2.27%2FE as the exponent,
then the calculated distance is shorter
H=0.00252%2A50%5E%28%282.27%2F1.2%29%29%5Einstead and that is
H=0.00252%2A50%5E1.89=4.1
and the calculated letter height is 4.1 meters.