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प्रश्न
The topmost branch of a tree is tied with a string attached to a pole in the ground. The length of this string Is 200m and it makes an angle of 45° with the ground. Find the distance of the pole to which the string is tied from the base of the tree.
योग
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उत्तर
The topmost branch of the tree is at point B and C is the point on the ground to which the topmost branch is tied.
In ΔABC,
`"AC"/"BC" = cos45^circ`
`h/200 = 1/sqrt(2)`
`h = 200/sqrt(2) = (200sqrt(2))/2 = 100sqrt(2) = 100 xx 1.414 = 141.4`
Thus , the required distance is 141.4 m.
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