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Thursday, 02 July 2026
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In the diagram, a ladder PS leaning against a vertical wall PR makes angle x° with ...



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.
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  • 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: Option A
Explanation:

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