If the angle of elevation of a cloud from a point which is m above a lake be and the angle of depression of reflection of the cloud in the lake from be , then the height of the cloud (in meters) f

Question

If the angle of elevation of a cloud from a point  which is  m above a lake be  and the angle of depression of reflection of the cloud in the lake from  be , then the height of the cloud (in meters) from the surface of the lake is :

Canvas Classes · Accepted Answer

🧠 Standard Lake-Reflection Setup — Two Equations, Add Them Up

Same family as HTDT-009. Observer  is  m above a still lake. From , elevation to cloud ; depression to the image of the cloud (in the lake) . Find the cloud's height above the lake.

The clean picture: let cloud height above the lake . The image is the same  below the lake. From  (which is  m above the lake):
- Vertical distance from  up to the cloud .
- Vertical distance from  down to the image .

Both observations share the same h

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