Hello, p4pri!

Did you make a sketch?

The ‘London Eye’ can be considered to be a circular frame of radius 67.5m

on the circumference of which are ‘capsules’ carrying a number of people round the circle.

Take a coordinate system where O is the base of the circle and OY is a diameter.

At any time after starting off round the frame, the capsule will be at height h metres

when it has rotated θ°.

Apparently answer is: . . . . why? Code:

* * *
* *
* *
* *
* C *
- * o *
: * R * | *
: * θ | Rcosθ
R * * | *
: A o - - - + B *
: : * | *
- --+-----*-*-*------
D O

The center of the circle is

The capsule is at

The radius is: .

In right triangle

The height of the capsule is: .

Therefore: .