Question 6:
Diagram below shows a ‘Wayang Kulit’ performed by Tok Dalang. The height of the screen use is 1.5 m. The shadow on the screen is ⅔ the height of the screen.
What is the height, in cm, of the puppet used by Tok Dalang?
Solution:
Height of shadow=23 of height of screen=23×1.5 m=1.0 mHeight of puppetHeight of shadow=0.20.2+0.6Height of puppet1=0.20.8Height of puppet=0.25 m=25 cm
Diagram below shows a ‘Wayang Kulit’ performed by Tok Dalang. The height of the screen use is 1.5 m. The shadow on the screen is ⅔ the height of the screen.
![](http://pt3mathematics.blog.onlinetuition.com.my/wp-content/uploads/sites/6/2019/07/Picture144.png)
Solution:
Height of shadow=23 of height of screen=23×1.5 m=1.0 mHeight of puppetHeight of shadow=0.20.2+0.6Height of puppet1=0.20.8Height of puppet=0.25 m=25 cm
Question 7:
Diagram below shows the shadow of a pillar form on the wall from the light of a spotlight.
(a) State the scale factor of the enlargement.
(b) Find the height of the pillar.
Solution:
(a)
Scale factor=2+62 =82 =4
(b)
Height of pillarHeight of shadow=14Height of pillar1.2=14Height of pillar=14×1.2 m=0.3 m
Diagram below shows the shadow of a pillar form on the wall from the light of a spotlight.
![](http://pt3mathematics.blog.onlinetuition.com.my/wp-content/uploads/sites/6/2019/07/Picture145.png)
(b) Find the height of the pillar.
Solution:
(a)
Scale factor=2+62 =82 =4
(b)
Height of pillarHeight of shadow=14Height of pillar1.2=14Height of pillar=14×1.2 m=0.3 m
Question 8:
In diagram below, a torch light is used to form a shadow of a candle on the screen.
![](http://pt3mathematics.blog.onlinetuition.com.my/wp-content/uploads/sites/6/2019/07/Picture146.png)
The height of the candle is 15 cm.
If the height of the shadow of the candle is ¾ of the height of the screen, find the height of the screen.
Solution:
Height of candleHeight of shadow=3030+9015 cmHeight of shadow=14Height of shadow=15 cm×4=60 cm34 of height of screen=60 cmHeight of screen=43×60 cm =80 cm
In diagram below, a torch light is used to form a shadow of a candle on the screen.
![](http://pt3mathematics.blog.onlinetuition.com.my/wp-content/uploads/sites/6/2019/07/Picture146.png)
The height of the candle is 15 cm.
If the height of the shadow of the candle is ¾ of the height of the screen, find the height of the screen.
Solution:
Height of candleHeight of shadow=3030+9015 cmHeight of shadow=14Height of shadow=15 cm×4=60 cm34 of height of screen=60 cmHeight of screen=43×60 cm =80 cm