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Question
The height of a tower is 10 m. What is the length of its shadow when Sun's altitude is 45°?
Solution
Let BC be the length of shadow is x m
Given that: Height of tower is 10 meters and altitude of sun is 45°
Here we have to find length of shadow.
So we use trigonometric ratios.
In a triangle ABC,
`⇒ tan = (AB)/(BC)`
`⇒ tan 45°=(AB)/(AC)`
`⇒1=10/x`
`⇒x=10`
Hence the length of shadow is 10 m.
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