Question

The shape of a dome can be modeled by the equation 2 h d =− + 2 100 where h is the height (in feet) of the dome from the floor d feet from its center. How far from the center of the dome is the height 50 feet?

Answer 1

The distance from the centre of the dome is 2000 feet

Explanation:

We have an equation representing the distance from the centre of the dome.

We can now make the subject of the formula.

d = 2100 -2(h)

We are asked to find the value of d when the value of h is = 50 feet.

To do this, we simply plug in the value for h into the equation and solve the equation.

d = 2100 - 2(50)

d = 2100 -100

d = 2000 feet.

Hence the distance from the centre of the dome is 2000 feet