A girl is observing a ball from the balcony which is 30 metres above from the ground( see the above figure) and the angle of depression of the ball is A .Such that sec3A equals to cosec2A , find the distance of line of sight of ball.
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the distance of line of sight of ball. = 100 m
Step-by-step explanation:
Sec3A = Cosec2A
=> 1/Cos3A = 1/Sin2A
=> Sin2A = Cos3A
=> Sin2A = Sin(90 - 3A)
=> 2A = 90 - 3A
=> 5A = 90
=> A = 18
SinA = BC/AC
=> AC = BC/Sin18
=> AC = 30/Sin18
=> AC = 30/0.3
=> AC = 100
the distance of line of sight of ball. = 100 m
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