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Triangles — Maths STD 10 — Question

Maharashtra BoardEnglish MediumSTD 10MathsTriangles1 Mark
MCQ
A vertical stick $20m$ long casts a shadow $10m$ long on the ground. At the same time, a tower casts a shadow $50m$ long on the ground. The height of the tower is:
  • ✓
    $100m.$
  • B
    $120m.$
  • C
    $25m.$
  • D
    $200m.$
✓

Answer

Correct option: A.
$100m.$
Height of a stick $= 20m$
and length of its shadow $= 10m$
At the same time
Let height of tower $= x m$
and its shadow $= 50m$
$20 : x = 10 : 50$
$x \times 10 = 20 \times 50$
$\Rightarrow\text{x}=\frac{20\times50}{10}=100$
Height of tower $= 100m.$

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