Two intersecting lines have slopes of 0.5 and 3 respectively.

Question

Find the acute angle between them.?

Answer 1

The slopes of two intersecting lines

m₁ = 0.5

m₂ = 3

Formula for angle between two intersecting lines tanΘ = | m₁ - m₂ | / | 1 + m₁m₂ |

tanΘ = | 0.5 - 3 | / | 1+ 0.5*3 |

tanΘ = | -2.5 | / | 1+ 1.5 |

tanΘ = 2.5 / 2.5

tanΘ = 1

Θ = 45°

The angle between two intersecting lines of slopes 0.5 , 3 is 45°