SOLUTION: The angle of elevation of a cloud from a point 100m above a lake is 30 degree and the angle of depression of its reflection in the lake is 60 degree.Find the height of the cloud fr
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-> SOLUTION: The angle of elevation of a cloud from a point 100m above a lake is 30 degree and the angle of depression of its reflection in the lake is 60 degree.Find the height of the cloud fr
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Question 319277: The angle of elevation of a cloud from a point 100m above a lake is 30 degree and the angle of depression of its reflection in the lake is 60 degree.Find the height of the cloud from the lake. Answer by nyc_function(2741) (Show Source):
You can put this solution on YOUR website! x – height of the cloud from the lake
y – horizontal distance of the cloud from the observer
tan(30°) = (x – 100) / y
tan(60°) = (x + 100) / y
(x – 100) / tan(30°) = (x + 100) / tan(60°)
x = 100 (tan(60°) + tan(30°)) / (tan(60°) - tan(30°))
x = (230.9401077)/(1.54700538)
x = 149.28 meters.
