# Pre-Calculus

a ferris wheel is elevated 1 meter above ground. When car reaches the highest point of the Ferris wheel, it's altitude from ground level is 31 metres. How far away from the center, horizontally, is the car when it is at an altitude of 25 meters?

1. 👍 2
2. 👎 0
3. 👁 5,076
1. so, the radius of the wheel is 15 m
...(31 - 1) / 2

when the altitude is 25 m, the car is 9 m above the center
... 25 - 15 - 1

using Pythagoras,
... hypotenuse (radius) is 15 m
... vertical side is 9 m
... horizontal side is ?

HINT (a big one)
... it's a Pythagorean triple, 3-4-5

1. 👍 4
2. 👎 0
2. x2 + (y - 16)2 = 225
x2 + (25 + 16) = 225
x2 + 81 = 225
x2 = 225 - 81
x2 = 144 -> squared 144 to illiminate the square in
x2
so.. x = 12

1. 👍 8
2. 👎 1

## Similar Questions

1. ### math-precalculus

A Ferris wheel is 50 meters in diameter and boarded from a platform that is 1 meters above the ground. The six o'clock position on the Ferris wheel is level with the loading platform. The wheel completes 1 full revolution in 6

2. ### Math

A ferris wheel is 30 meters in diameter and boarded in the six o'clock position from a platform that is 10 meters above the ground. The wheel completes one full revolution every 10 minutes. At the initial time t=0 you are in the

3. ### precalculus

A Ferris wheel is 25 meters in diameter and boarded from a platform that is 2 meters above the ground. The six o'clock position on the Ferris wheel is level with the loading platform. The wheel completes 1 full revolution in 4

4. ### n

A ferris wheel is 20 meters in diameter and boarded from a platform that is 1 meters above the ground. The six o'clock position on the ferris wheel is level with the loading platform. The wheel completes 1 full revolution in 6

1. ### precalculus

A ferris wheel is 20 meters in diameter and boarded from a platform that is 3 meters above the ground. The six o'clock position on the ferris wheel is level with the loading platform. The wheel completes 1 full revolution in 10

2. ### Trigonometric Functions! (Ferris Wheel)

The Ferris wheel at a carnival has a diameter of 18m and descends to 2m above the ground at its lowest point. Assume that a rider enters a car at this point and rides the wheel for two revolutions My main problem is how to get the

3. ### Math

A Ferris wheel is 25 meters in diameter and boarded from a platform that is 1 meter above the ground. The six o’clock position on the Ferris wheel is level with the loading platform. The wheel completes 1 full revolution in 10

4. ### Pre-Cal

A Ferris wheel is 40 meters in diameter and boarded from a platform that is 5 meters above the ground. The six o'clock position on the Ferris wheel is level with the loading platform. The wheel completes one full revolution every

1. ### Trig Question Help plz

A ferris wheel has a radius of 25 feet. A person takes a seat, and the wheel turns 5pie/6 radians. How far is the person above the ground? please explain to me how to solve this We are to suppose the person got on the wheel at the

2. ### Math

a ferris wheel with a 40-ft diameter rotates once every 30 seconds. the bottom of the wheel is located 1.5 feet above the ground. you get on at the very bottom of the ferris wheel at time t = 0 and then the ferris wheel begins to

3. ### precalculus

A Ferris wheel is 10 meters in diameter and boarded from a platform that is 3 meters above the ground. The six o'clock position on the Ferris wheel is level with the loading platform. The wheel completes 1 full revolution in 4

4. ### math

a ferris wheel has the diameter of 240 feet and the bottom of the ferris wheel is 9 feet above the ground. find the equation of the wheel if the origin is placed on the ground directly below the center of the wheel