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Question
The shadow of a 5-m-long stick is 2 m long. At the same time the length of the shadow of a 12.5-m-high tree (in m) is ______.
Options
3.0
3.5
4.5
5.0
MCQ
Fill in the Blanks
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Solution
The shadow of a 5-m-long stick is 2 m long. At the same time the length of the shadow of a 12.5-m-high tree (in m) is 5.0.
Explanation:
Let AB be the stick and AC be its shadow.
Let DE be the tree and DF be its shadow.
ΔABC ∼ ΔDEF.
∴ `(AB)/(DE) = (AC)/(DF)`
⇒ `5/(12.5) = 2/x`
⇒ `x = ((12.5 xx 2)/5)`
⇒ x = 5
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