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Question
If the altitude of the sum is at 60°, then the height of the vertical tower that will cast a shadow of length 30 m is
Options
\[10\sqrt{3}\]
15 m
\[\frac{30}{\sqrt{3}} m\]
\[15\sqrt{2} m\]
Solution
Let h be the height of vertical tower AB
Given that: altitude of sun is 60° and shadow of length `BC=30`meters.
Here, we have to find the height of tower.
So we use trigonometric ratios.
In a triangle ABC,
`⇒ tan C=(AB)/(BC)`
`⇒ tan 60°=(AB)/(BC)`
`⇒sqrt3=h/30`
`⇒h=30sqrt3`
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