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.

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 is A

No explanation has been provided for this answer.