Question

A Ferris wheel has cabins which can fit up to 40 passengers that are 190 ft from the center of the wheel. The wheel makes one revolution is approximately 30 min. When you​ board, you are 4 ft above the ground. After you have rotated through an angle of 315 degrees​, how far above the ground are​ you?

Answer 1

Answer:

59.65 ft

Explanation:

The Ferris Wheel is a circular with a radius of 190 ft. The base of the Ferris Wheel is 4 ft above the ground.

Ferris Wheel makes a rotation of 315 degree, or (-45 degree). This would make a right angled triangle with the hypotenuse equal to the radius, i.e. 190 ft and main angle of 45 degree

To find the height of the passengers first we find the height of the triangle

$Cos(45) = \frac{Base}{Hyp} \\ Cos(45) = \frac{Base}{190} \\ Base = 134.35$

We now know that the passengers are 134.35 ft (in perpendicular height) from the center, and we also know that the center is (190 + 4) = 194 ft from the ground.

To find the height of passengers from the ground, we subtract the two values

194 - 134.35 = 59.65 ft