Mathematics

Find the acute angle between the straight lines y = x and y = √3x

Find the acute angle between the straight lines y = x and y = √3x
  • A.
    15o
  • B.
    30o
  • C.
    45o
  • D.
    60o
Correct Answer: Option A
Explanation

y = x, Gradient (m1) = 1
y = √3x gradient (m2) = √3
(tantheta = frac{m_2 – m_1}{1+m_2 m_1}\
tantheta = frac{sqrt{3}-1}{1+sqrt{3}times 1}\
=frac{1.73 -1 }{1+1.73}=
frac{0.73}{2.73}=0.268)
θ = Tan-1 (0.268)
= 15o