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  • A flagpole 18 m high casts a shadow 9.6 m long. Find the distance of the top of the pole from the far end of the shadow.

A flagpole 18 m high casts a shadow 9.6 m long. Find the distance of the top of the pole from the far end of the shadow.

Answers (1)

Answer: 20.4 m

height of flag pole BC = 18 m

shadow AB = 9.6 m

In triangle BC using Pythagoras's theorem

\\AC^{2}=AB^{2}+BC^{2}\\AC^{2}=\left ( 9.6 \right )^{2}+\left ( 18 \right )^{2}

\\AC^{2}=92.16+324\\AC^{2}=416.16\\AC=\sqrt{416.16}

AC=\sqrt{416.16}=20.4\; m

Hence distance between the top of the pole from the far end of the shadow is 20.4 m

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