Question

There has been a leak of the latest roller coaster design for the most amazing theme park. The internet is on fire with concerns about the safety of parts of this ride so the safety engineers in charge have decided to add ladders that reach the highest points on the ride which occur in two of the hills that the passengers will climb in the cars. Determine the height of the ladders that will need to be placed on these two parts of the roller coaster. Show all calculations involved.

Answer 1

The image shows two hills on the roller coaster, with a height of 50 yards and 25 yards, respectively. The cars that will carry the passengers are 10 yards high. Therefore, the ladders that need to be placed on these two hills will need to be:

* 50 yards - 10 yards = 40 yards for the first hill.

* 25 yards - 10 yards = 15 yards for the second hill.

In addition, the safety engineers should allow for a safe reaching height of 4 feet above the highest point at which the ladder will be used. Therefore, the final height of the ladders should be:

* 40 yards + 4 feet = 44 feet for the first hill.

* 15 yards + 4 feet = 19 feet for the second hill.

Here are the calculations involved:

* Height of first hill = 50 yards

* Height of car = 10 yards

* Height of ladder needed for first hill = 50 yards - 10 yards = 40 yards

* Safe reaching height = 4 feet

* Final height of ladder needed for first hill = 40 yards + 4 feet = 44 feet

* Height of second hill = 25 yards

* Height of car = 10 yards

* Height of ladder needed for second hill = 25 yards - 10 yards = 15 yards

* Safe reaching height = 4 feet

* Final height of ladder needed for second hill = 15 yards + 4 feet = 19 feet

I hope this helps! Let me know if you have any other questions.