1.

A man observes that when he moves up a distance c metres on a slope, the angle of depression of a point on the horizontal plane from the base of the slope is 30^(@), and when he moves up further a distance c metres the angle of depression of that point is 45^(@). The angle of inclination of the slope with the horizontal is (Man starts from bottom of slope)

Answer»

`60^(@)`
`45^(@)`
`75^(@)`
`30^(@)`

Solution :Applying m - n THEOREM of TRIGONOMETRY
we GET

`(C + c) cot (THETA-30^(@))c cot 15^(@) - c cot 30^(@)`
or `cot (theta -30^(@)) = 1`
`= theta - 30^(@) = 45^(@)`
`:. theta = 75^(@)`


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