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If the height of a tower and the distance of the point of observation from its foot, both, are increased by 10%, then the angle of elevation of its top ____________. -

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Question

If the height of a tower and the distance of the point of observation from its foot, both, are increased by 10%, then the angle of elevation of its top ____________.

Options

  • increases

  • decreases

  • remains unchanged

  • have no relation

MCQ
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Solution

If the height of a tower and the distance of the point of observation from its foot, both, are increased by 10%, then the angle of elevation of its top remains unchanged.

Explanation:

Since,

`"tan" theta = "h"/"x"`

Where h is height and x is the distance from the tower,

If both are increased by 10%, then the angle will remain unchanged.

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