Heights and Distances

358. Chasing the Cloud's Height · using angles of elevation and depression

The angles of elevation and depression match the problem's 30° and 60° when the horizontal distance is correct.

OCR25 mLine of SightElevation = 30°Elevation = 30°Depression = 60°Depression = 60°h = 250h = 250E
Combining an angle of elevation to a cloud with an angle of depression to its reflection lets you find the cloud's height. Writing tan for both angles over the same horizontal distance solves for the height.
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