Answer
a)
height 150 ft = distance 15 miles
height 225 ft = distance 18 miles
height 300 ft = distance 21 miles
b) Therefore as the height increases by 75 feet, the distance increases by about 3 miles.
Work Step by Step
$d = \sqrt \frac{3h}{2}$
a)
Height : 150 ft
We substitute the height into the equation.
$d = \sqrt \frac{3(150)}{2}$
$\sqrt 225$
= 15 miles
Height : 225 ft
We substitute the height into the equation.
$d = \sqrt \frac{3(225)}{2}$
$\sqrt 337.5$
=18 miles
Height : 300 ft
We substitute the height into the equation.
$d = \sqrt \frac{3(300)}{2}$
$\sqrt 450$
=21 miles
b) As the height goes from 150 to 225 the height increases by 75 feet, and the distances goes from 15 to 18 miles, the distance increases by about 3 miles. Therefore as the height increases by 75 feet, the distance increases by about 3 miles.
