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the angle of elevation of a cloud from a point 50m above the lake is 30degree and the angle of depression of its reflection in the lake is 60degree. find the height of the cloud.

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prove using property of determinant

1. a+b+c -c -b

-c a+b+c -a = 2(a+b)( b+c ) (c+a)

-b -a a+b+c
A survey was conducted among consumers who use products in liquid and powder form.one third of them don't use liquid.two fifth of them don't use powder.427 use both powder and liquid and one fifth use neither of products.what is the total no of consumers.