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?
- A$2.4m$
- B$1.35m$
- ✓$1.5m$
- D$13.5m$
✓
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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