An auto repair shop charged a customer $170 to repair a car. The bill listed $50 for parts and the remainder for labor. If the cost of labor is $30 per hour, how many hours of labor did it take to repair
the car?

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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