Trigonometry Summary Unit Circle Ratios
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AP CALCULUS AB | 2008 | Shubleka | Fiesta # 7
Name________________________
Please write your answers neatly on a separate sheet. Show and justify your work for full credit. Problem 1: Two people start from the same point. One walks east at 3 mi/h and the other walks northeast at 2 mi/h. How fast is the distance between the people changing after 15 minutes? Problem 2 A car is traveling at night along a highway shaped like a parabola with its vertex at the origin. The car starts at a point 100m west and 100m north of the origin and travels in an easterly direction. There is a statue located 100m east and 50m north of the origin. At what point on the highway will the car’s headlights illuminate the statue?
Name________________________
Please write your answers neatly on a separate sheet. Show and justify your work for full credit. Problem 1: Two people start from the same point. One walks east at 3 mi/h and the other walks northeast at 2 mi/h. How fast is the distance between the people changing after 15 minutes? Problem 2 A car is traveling at night along a highway shaped like a parabola with its vertex at the origin. The car starts at a point 100m west and 100m north of the origin and travels in an easterly direction. There is a statue located 100m east and 50m north of the origin. At what point on the highway will the car’s headlights illuminate the statue?
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