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A street light is at the top of a 16 ft tall pole. A woman 6 ft tall walks away from the pole with a speed of 5 ft/sec along a straight path. How fast is the tip of her shadow moving when she is 50 ft from the base of the pole? ft sec

A street light is at the top of a 16 ft tall pole. A woman 6 ft tall walks away from the pole with a speed of 5 ft/sec along a straight path. How fast is the tip of her shadow moving when she is 50 ft from the base of the pole? ft sec

College Physics
College Physics
11th Edition
ISBN:9781305952300
Author:Raymond A. Serway, Chris Vuille
Publisher:Raymond A. Serway, Chris Vuille
Chapter1: Units, Trigonometry. And Vectors
Section: Chapter Questions
Problem 1CQ: Estimate the order of magnitude of the length, in meters, of each of the following; (a) a mouse, (b)...
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**Problem Description:** A street light is positioned at the top of a pole with a height of 16 feet. A woman, who is 6 feet tall, is walking away from the pole at a constant speed of 5 feet per second along a straight path. The question posed is: How fast is the tip of her shadow moving when she is 50 feet away from the base of the pole? --- **Units of Measurement:** - The answer should be provided in feet per second (ft/sec). **Diagram Explanation:** There is no diagram present in the image, but if there were a diagram, it would typically depict: - The pole with the street light at the top. - The woman walking away from the pole. - The shadow cast by the woman, extending from her feet on the ground. - The relationship between the height of the pole, the height of the woman, the length of the shadow, and the distance from the pole would be used to form geometric relationships or ratios, often leading to the derivation of a solution via similar triangles.
Transcribed Image Text:**Problem Description:** A street light is positioned at the top of a pole with a height of 16 feet. A woman, who is 6 feet tall, is walking away from the pole at a constant speed of 5 feet per second along a straight path. The question posed is: How fast is the tip of her shadow moving when she is 50 feet away from the base of the pole? --- **Units of Measurement:** - The answer should be provided in feet per second (ft/sec). **Diagram Explanation:** There is no diagram present in the image, but if there were a diagram, it would typically depict: - The pole with the street light at the top. - The woman walking away from the pole. - The shadow cast by the woman, extending from her feet on the ground. - The relationship between the height of the pole, the height of the woman, the length of the shadow, and the distance from the pole would be used to form geometric relationships or ratios, often leading to the derivation of a solution via similar triangles.
At noon, ship A is 30 nautical miles due west of ship B. Ship A is sailing west at 17 knots, and ship B is sailing north at 15 knots. How fast (in knots) is the distance between the ships changing at 3 PM? (Note: 1 knot is a speed of 1 nautical mile per hour.) [Input box for answer] _knots_
Transcribed Image Text:At noon, ship A is 30 nautical miles due west of ship B. Ship A is sailing west at 17 knots, and ship B is sailing north at 15 knots. How fast (in knots) is the distance between the ships changing at 3 PM? (Note: 1 knot is a speed of 1 nautical mile per hour.) [Input box for answer] _knots_
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