Question

An aeroplane is at an altitude of 300m observes an angle of depression of opposite points on the two banks of a river to be 45 and 60. Find width of river

Answer 1

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Answer 2

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In ∆ABC
AC/BC=TAN45°
300/BC=1
300=BC (1)

IN ∆ACD
AC/CD=TAN60°
300/CD=√3
300/√3=CD
BY RATIONALISING
300×√3/√3×√3=CD
300√3/3=CD
100√3=CD (2)

WIDTH OF RIVER=BC+CD
WIDTH OF RIVER=300+100√3 (FROM EQUATION 1 AND2)
WIDTH OF RIVER=100(3+√3)m



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