Question

jessica watkins is the first black woman to serve as a crew member on the international space station. all crew members ride up an elevator on the launch pad to reach the spacecraft that will take them to the station. the formula shown below can be used to determine the height of the elevator, h, in feet, based on the distance, d, in miles, to a landmark on the horizon. if jessica calculates that the elevator is 216 feet from the ground when a landmark is 18 miles away on the horizon, is her solution for h correct? use the drop - down menus to explain.
$d = \sqrt{1.5h}$

Explanation:

Step1: Substitute given $d=18$ into formula

$18 = \sqrt{1.5h}$

Step2: Square both sides to eliminate root

$18^2 = (\sqrt{1.5h})^2$
$324 = 1.5h$

Step3: Solve for $h$ by dividing

$h = \frac{324}{1.5}$
$h = 216$

Answer:

Yes, Jessica's solution is correct. When substituting $d=18$ into the formula and solving for $h$, the result is 216 feet, which matches her calculation.