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Question
The angle of elevation of the top of a 30 m high tower at a point 30 m away from the base of the tower is ______.
Options
30°
45°
60°
90°
Solution
The angle of elevation of the top of a 30 m high tower at a point 30 m away from the base of the tower is 45°.
Explanation:
Let the angle be x
`\implies` tan x = `"Height of tower"/"Distance"`
`\implies` tan x = `30/30` = 1
`\implies` tan x = tan 45°
`\implies` x = 45°
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