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Question
If the height of the tower is equal to the length of its shadow, then the angle of elevation of the sun is ______.
Options
30°
45°
60°
90°
Solution
If the height of the tower is equal to the length of its shadow, then the angle of elevation of the sun is 45°.
Explanation:
Given that,
Height of tower = Length of shadow
Let the angle of elevation be x
`\implies` tan x = `"Height of tower"/"Length of shadow"`
`\implies` tan x = 1 ...(tan 45° = 1)
`\implies` x = 45°
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