1.

A tower of height b subtends an angle alpha at a point on the same level as the food of the tower .At a second point , b meters above the first , the angle of depression of the foot pole and the finds that the elevation is now 2 theta.The value of cot thetais

Answer»

B COT `alpha "TAN " beta `
`b tan alpha tanbeta `
`b tan alpha cot beta`
`b cot alpha cot beta`

Solution :Let AB be the tower of height h, D be the point x away fron B and C be another point b m above D

In triangle ABD.
`h=x tan alpha`
In triangle BCE. `X= b cot beta`
from (1) and (2) we get
`thereforeh=b tan alpha cot beta`


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