A kite 100 ft above the ground moves horizontally at a speed of 11 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?
X rad/s
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Please try again. Let o be the angle between the string and the ground and x denote the horizontal distance of the kite. Then x is one leg of a right triangle with hypotenuse formed by
the string: the other leg is facing the angle 8 and has length equal to the height of the kite. You need to use a trigonometric function to relate and x and then differentiate the relation
de
with respect to t. Finally, solve for and find its value using the given values. Note that negative rate means the quantity is decreasing

answer: 19 is   2

step-by-step explanation: i just looked at your answer and wrote it down

step-by-step explanation:

i think something is missing in your question because y-1=(x-12) would not pass through the point (-4,-3). because if you replace x by -4 your are supposed to find y=-3 which is not the case her. if you replace x by -4 you find =-15.

i assume the right equation is y-1=1/4*(x-12) because this one is passing through both your points (if you are interested to know how i found that out i can tell you).

in this equation if i replace x by -4 i find y=-3 and if i replace x by 12, i find y=1 so the line representing this equation is passing through those 2 points.

then the standard form of the equation is finding an expression of y in function of x

y-1=1/4*(x-12)

y=x/4-3+1

y=x/4-2

hope that .

do you confirm there was a mistake in the question?

answer: i think you should do the math and pay attention in class : )

step-by-step explanation:

that is truly what   think but if i get the answer i will

step-by-step explanation:

d would equal 12