question_answer

From a window A, 10 m above the ground, the angle of elevation of the top C of a tower is \[\text{x}{}^\circ \], where \[\tan x{}^\circ =\frac{5}{2}\], and the angle of depression of the foot D of the tower is \[\text{y}{}^\circ \], where tan \[\text{tan}\,\text{y}{}^\circ =\frac{1}{4}\]. What is the height CD of the tower to the nearest metre?

A) 135m                                    

B) 75m

C) 59m                      

D)        110m