Correct option (a) tan–1 1/2
Explanation:
ST = 4 + AT = 16 + 4 = 20
PS = 4 + 16 = 20
ΔTPS is isosceles triangle
tan 2θ = 16 - 0/16 - 4 = 4/3 = 2 tanθ/1 - tan2θ
2 tan2 θ + 3tan θ – 2 = 0
(2 tan θ –1) (tan θ + 2) = 0
tan θ = 1/2 , tanθ = –2
θ = tan–1 1/2