The angle of elevation of a cloud from a point 60m above the surface of the water of a lake is 30 and the angle of depression of
its shadow from the same point in water of the lake is 60. Find the height of the cloud from the surface
1 answer:
Answer:
The height of the cloud is 120m
Step-by-step explanation:
From the attached diagram
BC if the height of the cloud
Given:
CD = 60 (opposite sites of ADCE are equal)
Applying Pythagoras rule to calculate AD
Tan60 = CD/AD
AD = CD X Tan60
= 60 X 1.732 = 103.92m
Using Pythagoras rule to find BD
Tan30 = BD/AD
BD = AD X Tan30
= 103.92 X 0.5773
= 59.993
BC = BD + CD
= 59.993 + 60
= 119.993
BC ~ 120m
The height of the cloud is approximately 120m
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