**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:*$\begin{array}{l}\text{Heightofshadow}\\ =\frac{2}{3}\text{ofheightofscreen}\\ =\frac{2}{3}\times 1.5\text{m}\\ =1.0\text{m}\\ \\ \frac{\text{Heightofpuppet}}{\text{Heightofshadow}}=\frac{0.2}{0.2+0.6}\\ \\ \frac{\text{Heightofpuppet}}{\text{1}}=\frac{0.2}{0.8}\\ \\ \text{Heightofpuppet}\\ =0.25\text{m}\\ =25\text{cm}\end{array}$

**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)**

$\begin{array}{l}\text{Scalefactor}=\frac{2+6}{2}\\ \text{}=\frac{8}{2}\\ \text{}=4\end{array}$

**(b)**

$\begin{array}{l}\frac{\text{Heightofpillar}}{\text{Heightofshadow}}=\frac{1}{4}\\ \\ \frac{\text{Heightofpillar}}{1.2}=\frac{1}{4}\\ \\ \text{Heightofpillar}=\frac{1}{4}\times 1.2\text{m}\\ \text{}=0.3\text{m}\end{array}$

**Question 8:**

In diagram below, a torch light is used to form a shadow of a candle on the screen.

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:*$\begin{array}{l}\frac{\text{Heightofcandle}}{\text{Heightofshadow}}=\frac{30}{30+90}\\ \\ \frac{15\text{cm}}{\text{Heightofshadow}}=\frac{1}{4}\\ \\ \text{Heightofshadow}=15\text{cm}\times 4\\ \text{}=60\text{cm}\\ \\ \frac{3}{4}\text{ofheightofscreen}=60\text{cm}\\ \text{Heightofscreen}=\frac{4}{3}\times 60\text{cm}\\ \text{}=80\text{cm}\end{array}$