A kite 100 ft above the ground moves horizontally at a speed of 5 ft/s. At what rate (in rad/s) 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:

given data:

speed of kite = 5 ft/s

height of the kite = 100 ft above the ground.

decrease = 200 ft

Solution:

 θ =

next we relate  θ and x with respect to time t.

cot θ

θ

gaddgad

step-by-step explanation:

answer: a.   one is a factor of every whole number since every number is divisible by itself.