How fast is the tip of his shadow moving

Additionally, the man's height, the top of the man's head to the tip of his shadow, and the distance from the feet of the man to the tip of the shadow form a smaller triangle. We can use this information to find the desired answer. In other words, the speed of the tip of the shadow is constant at the rate at which the man walks away from the pole, with these dimensions, regardless of how far away he is from the pole.

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Create a free Team What is Teams? Learn more. Find the speed of the tip of a shadow reflecting off a man walking away from a street light? Ask Question. Thread starter cedwards08 Start date Oct 2, Tags change problem rate related. JavaScript is disabled. For a better experience, please enable JavaScript in your browser before proceeding. Oct 2 0. Chris, who is 6 feet tall, is walking away from a street light pole 30 deet high at a rate of 2 feet per second.

How fast is his shadow increasing in length when chris is 24ft from the pole? Okay, we're in chapter three, Section nine. Page 2 48 number And here we have a street lamp, uh, casting a, uh, you know, the street lamp with a light bulb until okay. Casting like. And this street numbers 15 ft tall. Presumably it's perpendicular to the ground. And there's a man who is 6 ft And the idea is that this lamp is casting a shadow onto the ground as the man walks.

Uh, why can't I make this straight? I hesitate to use. Let's see. Where is the blind button? Notice they do a line here. Okay, that's not terrible. All right, good. Hey, stay. Let's go back to Penn, people. Turn it off. Yeah, alrighty. So if this is the right angle here on this right angle year, we have to similar right triangles. All right. We have Triangle A. The see is similar to Triangle D b e. And what we want to figure out is how fast the shadow is increasing the rate of change of y given how fast he's walking away from the lamppost.

Okay, that's given, um, let's say we get 15 ft tall pole, 6 ft told man he's worked walking at a rate away from the pole. So it's positive. How fast is the tip of her shadow moving when she is 30 feet from the base of the. A street light is at the top of a 20 foot tall pole. How fast is the tip of her shadow moving when she is 50 feet from the base of the.

A street light is at the top of a 15 foot tall pole. How fast is the tip of her shadow moving away from the woman when she is 50 feet. A street light is at the top of a 27 ft pole.

At what rate is the tip of her shadow moving away from the light ie. You can view more similar questions or ask a new question. Questions Math A street light is mounted at the top of a ft-tall pole. Similar Questions Calculus A street light is at the top of a 17 ft tall pole.