1. ## trigo

Juliana gets into the seat at the bottom of a Ferris wheel that is 1.5m above the ground . The radius of the Ferris wheel is R m and it rotates in an anticlockwise direction .

(a) Find the height , H m , of Juliana from the ground when the Ferris wheel stops after rotating 300 degree . ( Give your answer in terms of R )

(b) Determine the height , H , if R =10

Juliana gets into the seat at the bottom of a Ferris wheel 1.5 m above the ground.
The radius of the Ferris wheel is $r$ m and it rotates in an CCW direction.

(a) Find the height, $h$, of Juliana from the ground when the Ferris wheel stops
Code:
              * * *
*           *
*               *
*                 *

*         P         *
*         o         *
*    r  / |         *
/60°|½r
*  /     |C       *
A o - - - o - - - *
: *     |     *
:     * * *
h :       |
:       |1.5
:       |
- - o - - - o - - - - - -
B       D

The center of the Ferris wheel is $P.$
The radius is: $r = PA$
$\angle APD = 60^o$
In right triangle $PCA,\;OC \:= \:r\cos60^o \:=\:\frac{r}{2}$

Hence: . $h \;=\;AB \;=\;PF - PC \;=\;(r + 1.5) - \frac{r}{2}$

. . Therefore: . $\boxed{h \;=\;\frac{r+3}{2}}$

3. hi Soroban , Thanks for ur effort in explaining