Question

You need to determine where to place the beams so that the chains are fastened to the rollercoaster at a height of 25 feet.

Answer 1

The roller coaster is an illustration of a right triangle

• The equation needed to solve the horizontal distance is $h^2 =30^2 -25^2$
• The horizontal distance is 16.58 feet

How to determine the equation

The height is given as: 25 feet.

From the complete question, the length of the roller coaster is 30 feet.

Represent the horizontal distance with h.

Given that the roller coaster represents the hypotenuse side length, the following equation can be used to find h

$30^2 = h^2 + 25^2$

Collect like terms

$h^2 =30^2 -25^2$

The horizontal distance

In (a), we have:

$h^2 =30^2 -25^2$

This gives

$h^2 =275$

Take the roots of both sides

$h =16.58$

Hence, the horizontal distance is 16.58 feet

Read more about right triangles at:

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