Question

Find the slope of a line, correct of two decimals, whose inclination is 75°

Answer 1

SDlope of line = m = tan θ

                       = tan 75°

tan (75°) = (45° + 30°) = `("tan" 45° + "tan" 30°)/(1 - "tan" 45° "tan" 30°)`

                                    = `(1 + 1/sqrt 3)/(1 - 1/sqrt 3) = (sqrt 3 + 1)/(sqrt - 1)`

                                   = `2.73/0.73 = 273/73 = 3.73`