00:01
For this question, what we need? we need a right triangle.
00:03
Let me just draw a right triangle and see how the values are changing.
00:08
Let's say this is a, b, c, and this angle is 90 degrees.
00:13
So at the base of the right triangle, let's say this is x, this is y, and the hypotenuse, let's say this is z.
00:20
The base of the right triangle is decreasing at a rate of 5.
00:24
So that means the x over dt, which is decreasing, so at a rate of 5, that.
00:31
Means i'm going to put a negative sign here because this is decreasing and the height is decreasing so the height is y so dy over dt which is again decreasing and the rate is three i'm going to put a negative sign when the base is 8 meters that means when x is equal to 8 and the height which is y is equal to 15 so how fast the high point news is changing so we just apply the pythagorean theorem here so in pythagorean theorem if you just take the square the right sides, we have to get z squared.
01:05
Let's take the derivative of the function with respect to t for all values, all variables here.
01:10
So this is 2x times the x over d t and plus 2 y times d .y over dt...