You have to find the angle of sunlight and the pole , which then cast a shadow length of the pole is equal to 3.1m creating a hypotenuse of 4.52m the angle will be [email protected] = opposite side / hypotenuse = 1.46/4.52 = 0.32 that's 18.66 ° now for the building sin18.66° = opposite/hypotenuse 0.32 = 36.75/ hypotenuse hypotenuse = 114.84 m thus using Pythagoras theorem 114.84*114.84 = 36.75*36.75 + x^2 which comes around = 108.8 roughly 109 metres long