Question

the formula r=.565
$\sqrt{a}$
can be used to approximate the distance a light beam from a light house can reach goven the area (in sqaure miles) that the light beam covers. Use the formula to estimate the distance the light beam coverso of the area it covers is 1000 might.^2

Answer 1

Given formula is $r= 0.565 \sqrt{a}$

which gives approximate distance a light beam from a light house where "a" represents the area (in sqaure miles) that the light beam covers

Using this formula we have to estimate the distance the light beam covers the area 1000 square miles.

so that means a=1000

Now plug this value into above formula

$r= 0.565 \sqrt{a}$

$r= 0.565 \sqrt{1000}$

$r= 0.565 *31.6227766017$

r = 17.86686878

Hence final answer is approx 17.87 miles