In simplified radical form, the person can see how many miles?

Question

asked Sep 13, 2023 183k views

1 Answer

Jad Chaar · Answer 1 · 2023-09-16T22:22:34+0000

We are given the equation:

$d(x)=\sqrt{(3x)/(2)}$

Where x is the height over the sea level, where d is in miles, and x in feet. We want to know the value of the function at x = 18 feet. Thus:

$d(18)=\sqrt{(3\cdot18)/(2)}$

We can now simplify by dividing 18 by 2:

$d(18)=√(3\cdot9)$

Now, using properties of radicals:

$d(18)=√(3)\cdot√(9)=3√(3)$

The answer in simplified radical form is:

$d(18)=3√(3)\text{ }miles$

Using the calculator, we can find the answer to the nearest tenth of a mile d(18)= 5.2 miles