When the sun is at an elevation of $50^{\circ},$ the shadow of a flag post is 20 m.The height of the flag post is, $[T a n 50^{\circ} = 1.2]$

20 m

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24 m

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12 m

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10 m

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Solution

The correct option is B
24 m

Let AC be the height of the flag post and BC be the length of its shadow.

In $Δ A B C$

$T a n 50^{\circ} = \frac{A C}{B C} = 1.2$

$A C = B C \times 1.2$

$A C = 20 \times 1.2 = 24 m$

So, height of flag post AC = 24 m

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When the sun is at an elevation of 50∘, the shadow of a flag post is 20 m.The height of the flag post is, [Tan 50∘=1.2]

The correct option is B 24 m Let AC be the height of the flag post and BC be the length of its shadow. In Δ ABC Tan 50∘=ACBC=1.2 AC=BC×1.2 AC=20×1.2=24 m So, height of flag post AC = 24 m

When the sun is at an elevation of $50^{\circ},$ the shadow of a flag post is 20 m.The height of the flag post is, $[T a n 50^{\circ} = 1.2]$

The correct option is B
24 m

Let AC be the height of the flag post and BC be the length of its shadow.

In $Δ A B C$

$T a n 50^{\circ} = \frac{A C}{B C} = 1.2$

$A C = B C \times 1.2$

$A C = 20 \times 1.2 = 24 m$

So, height of flag post AC = 24 m