MCQ
A vertical stick 1.8m long casts a shadow 45cm long on the ground. At the same time, what is the lenght of the shadow of a pole 6m high?
- A2.4m
- B1.35m
- ✓1.5m
- D13.5m
✓
Answer
Correct option: C.
1.5m
Let AN be the vertical stick and AW be its shadow.
Let OB be the pole and OW be its shadows.
AW = 45cm = 0.45m
AN = 1.8m
OB = 6m
Ratio of actual lengths = ratio of their shadows
$\Rightarrow\frac{\text{OB}}{\text{AN}}=\frac{\text{OW}}{\text{AW}}$
$\Rightarrow\frac{6}{1.8}=\frac{\text{OW}}{0.45}$
$\Rightarrow\text{OW}=\frac{6\times0.45}{1.8}$
$\Rightarrow\text{OW}=1.5\text{m}$
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