d=1.3times square root of h
how high(to the nearest foot) would a platform have to be to see a distance of 15.5 miles?
15.5= 1.3square root(h)
15.5/1.3=square root(h)
11.92=square root(h)
(11.92)^2=(square root(h))^2
h=142.16
so i don't do this?
15.5^2=1.3(square root(h)^2
240.25=1.3h
h=184.8
if you want to square both sides to get rid of the square root
you have to square the whole thing
so (1.3square root h)^2
which equals 1.69h instead of 1.3h
so h should = 142.16
great! thanks!!!
To find how high a platform would have to be to see a distance of 15.5 miles, we can use the given equation:
d = 1.3 * √h
Here, d represents the distance and h represents the height of the platform.
We need to rearrange the equation to solve for h:
√h = d / 1.3
Now, square both sides of the equation:
h = (d / 1.3)²
Substitute the given distance into the equation:
h = (15.5 / 1.3)²
Calculating this, we get:
h ≈ (11.92)²
h ≈ 142 feet
Therefore, the platform would need to be approximately 142 feet high to see a distance of 15.5 miles.