Work Done Against Gravity in Sprinting on an Incline

A 60 kg runner is sprinting at a speed of 8 m/s when she suddenly encounters a hill. The incline of the hill is 30 degrees to the horizontal. To reach the top of the hill, she must run up a distance of 10 meters along the slope. Assuming no energy is lost to friction, what is the minimum work done against gravity to reach the top of the hill?

The work done against gravity can be calculated using the formula: Work = mgh, where m is mass, g is the acceleration due to gravity (approximately 9.81 m/s²), and h is the vertical height gained.