Mathematics · Trigonometry
The angles of elevation of the top of a tower from two points lying on the same horizontal line are θ and φ (θ < φ). If the height of the tower is 20 m and the two points lie on the same side of the tower, then the distance (in metres) between the two points is:
- 120(tanφ - tanθ)
- 220cotθ cosφ (tanφ - tanθ)
- 320tanθ cotφ (cotφ - cotθ)
- 420(cotθ - cotφ)✓
Correct answer
20(cotθ - cotφ)
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