Question

Angle between two lines What is the size of the angle between the two lines 3x-2y+1=0 and x-3y=0 (answer in degrees and minutes)

15 degrees, 15 minutes a
62 degrees, 6 minutes b
43 degrees, 31 minutes c
37 degrees, 52 minutes d
I NEED HELP PLEES

Answer 1

d) 37 degrees, 52 minutes

Explanation:

3x-2y+1=0 y = 3/2 x + 1/2 ... slope₁ (m₁ = 3/2)

x-3y=0 3y =1/3 x ... slope₂ (m₂ = 1/3)

acute angle between two slopes: tan θ = (m₁-m₂) / (1+m₁*m₂)

tan θ = (3/2 - 1/3) / (1 + 3/2*1/3) = (7/6) / (3/2) = 7/9 = 0.77777777

θ = 37.875°