From a point 60 m above a still lake, the angle of elevation of a cloud is 30° and the angle of depression of its reflection in the lake is 60°. How high is the cloud above the lake?
Competition practiceTrigonometry
A90 m
B120 m
C180 m
D60√3 m
Step-by-Step Solution
With horizontal distance x:H−60=3x,H+60=x3. Dividing: H−60H+60=3, so H=120 m.
Answer: B) 120 m
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