Acouple wants to put up christmas lights along the roofline of their house. if the front of the house is 100 feet wide and the roof has a 45° pitch, how many linear feet of christmas lights should the couple buy?

i think the correct option is the second option.

answer: the angel abc is 30°,and the abc is a triangle where the angel bac is 90°

so ac is the half of 24=12ft,and from the pythagorean theorem we find ba

ba=√bc^2-ac^2=√576-144=√432=12√3ft

so bac is 12+12√3=12(1+√3)ft