"a kite 100 ft above the ground moves horizontally at a speed of 2 ft/s. at what rate is the angle (in radians) between the string and the horizontal decreasing when 200 ft of string have been let out

Step-by-step explanation:

We have in the image a representation of the triangle that is formed by the kite. The data that we have is:

We need to find .

As we can see in the attached image we can write the tangent of theta as:

Then the cot of theta is:

Derivating we have:

Changing we have:

as we can see in the figure attached using this we have:

Finally we just need to find then:

and we know that then:

2? if not the correct answer you might need to provide more information

step-by-step explanation:

you need more information to answer this question

step-by-step explanation: