Question

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

Answer 1

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