everystepcalculus.com A related rates problem concerning a shadow of a man and a light pole. Index 8 to get to my menu. We’re going to scroll down to related rates, here.
There’s related rates there there. We’re gonna scroll down here to shadow. Lamp post,person, shadow changing. Here’s a picture of it. And the lamp posts is given as alpha 16 feet high. You have to press alpha before you enter anything into these entry lines, here.
The man’s rate of change is alpha five and it is increasing as he’s walking away from the lamp post And the mans height is alpha five feet. The distance given is alpha 8. We show you what you’ve entered, you can change it if you want I say it’s okay. I show you the definitions that what we’re talking about. And we do with the calculations. You write all this on your paper, of course. Exactly as you see it, of course. And so the change is 88 over eleven feet per second. Now you can work this out if you want to you know your calculator. 88 divided by 11. This is the exact answer. And the second part of the problem What’s the length of the shadow changing? You do this calculations here. It turns out to be 25 over eleven feet per second. And you can do the approximation if you want on your calculator. Have a good one.
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