In the diagram, a ladder PS leaning against a vertical wall PR makes angle x°...
FURTHER MATHEMATICS
WAEC 2009
In the diagram, a ladder PS leaning against a vertical wall PR makes angle x° with the horizontal floor. The ladder slides down to a point QT such that angle QTR = 30° and SNT = y°. Find an expression for tan y.
- A. \(\frac{\sqrt{3} \tan x - 1}{\sqrt{3} + \tan x}\)
- B. \(\frac{\sqrt{3} \tan x}{\sqrt{3} + \tan x}\)
- C. \(\frac{\sqrt{3} \tan x + 1}{\sqrt{3} - \tan x}\)
- D. \(\frac{3 \tan x - 1}{\sqrt{3} - \tan x}\)
Correct Answer: A. \(\frac{\sqrt{3} \tan x - 1}{\sqrt{3} + \tan x}\)
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