A street light is at the top of a 11.5ft. tall pole. A man 5.9ft tall walks away from the pole with a speed of 6.5 feet per sec along a straight path. How fast is the tip of his shadow moving when he is 35 feet from the pole? Hint: Draw a picture and use similar triangles.

To calculate the speed of the tip of the man's shadow, we can use the following formula: shadow speed = man's speed * shadow length / distance between man and pole We know the man's speed (6.5 ft/s) and the distance between the man and the pole (35 ft). To calculate the shadow length, we can use the following formula: shadow length = man's height * distance between man and pole / height of pole shadow length = 5.9 ft * 35 ft / 11.5 ft = 17.95 ft Therefore, the speed of the tip of the man's shadow is: shadow speed = 6.5 ft/s * 17.95 ft / 35 ft = 3.33 ft/s Therefore, the tip of the man's shadow is moving at a speed of 3.33 feet per second when he is 35 feet from the pole.