The maximum distance D in kilometers that you can see from a height H in meters is given by the formula d equals 3.5 times the square root of h. How high above ground must you be to see 35 kilometers?

Question

Mathematics

Kaylyn Rowland

29 February, 18:34

The maximum distance D in kilometers that you can see from a height H in meters is given by the formula d equals 3.5 times the square root of h. How high above ground must you be to see 35 kilometers?

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Juliet Benitez · Answer 1

First put the words in an algebraic format or a model. D = 3.5 (√H). Now determine what the question is asking. It's height. Plug in the value of D. Distance is 35 km.

35 = 3.5 (√H) We want to get H by itself. First thing to get away from it is 3.5. So divide 35 by 3.5 And 3.5 (√h) by 3.5.

10 = √H To get rid of √ do the opposite raise to the power of 2

10² = (√H) ²

100 = H

You must be 100 kilometers above ground to see 35 kilometers