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Answer:
the angle of elevation of a cloud from a point 60m above a lake is 30 and the angle of depression of the reflection of the cloud in the lake is 60 - Mathematics ... the reflection of the cloud in the lake is 60* find the height of the cloud from the surface of the lake
Step-by-step explanation:
Hope this helps
Answer:
- 80 m
Step-by-step explanation:
The described points form two right triangles which share same horizontal leg a.
The bottom triangle has 60 m vertical length and 60° opposite angle.
The triangle on the top has unknown (x) vertical length and 30° opposite angle.
We are looking for the distance x + 60 m
On the top triangle we have:
- tan 30° = x/a ⇒ a = tan 30° / x
On the bottom triangle we have:
- tan 60° = 60/a ⇒ a = tan 60° / 60
Comparing we get:
- tan 30° / x = tan 60° / 60
- x = 60 tan 30° / tan 60°
- x = 20 m
So the distance is:
- 60 m + 20 m = 80 m