A6-ft-tall person walks away from a 10-ft lamppost at a constant rate of 3ft/sec. what is the rate that the tip of the shadow moves away from the pole when the person is 10ft away from the pole?

Step-by-step explanation:

If we see the file attached. The lamppost and the person form a triangle. The hight of the triangles are set by 10 ft from the lamppost and 6 ft from the person.

We also know that the person moves at a rate of 3

So,

As we have similar triangles:

Solving the equation by y:

If we derivate the expression:

Knowing that

"it's not the heat, it's the humidity".   that's a partly valid phrase you may have heard in the summer, but it's actually both.   the heat index, also known as the apparent temperature, is what the temperature feels like to the human body when relative humidity is combined with the air temperature.   this has important considerations for the human body's comfort.   when the body gets too hot, it begins to perspire or sweat to cool itself off.   if the perspiration is not able to evaporate, the body cannot regulate its temperature.   evaporation is a cooling process.   when perspiration is evaporated off the body, it effectively reduces the body's temperature.   when the atmospheric moisture content (i.e. relative humidity) is high, the rate of perspiration from the body decreases.   in other words, the human body feels warmer in humid conditions.   the opposite is true when the relative humidity decreases because the rate of perspiration increases.   the body actually feels cooler in arid conditions.   there is direct relationship between the air temperature and relative humidity and the heat index, meaning as the air temperature and relative humidity increase (decrease), the heat index increases (decreases).

step-by-step explanation: