The bottom of a large theater screen is 3ft above your eye level and the top of the acreen is 10ft above your eye level. assume you walk away from the screen (perpendicular to the screen) at a rate of 3ft/s while looking at the screen. what is the change of the viewing angle when you are 30ft from the wall on which the screen hangs assuming the floor is horizontal?

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step-by-step explanation:

d = distance between moon and sun, which in this problem is the hypotenuse of a right triangle.  

the distance y is the side opposite to angle x in the right triangle.   use the definition of the sine function from basic trigonometry.

sin(x) = y/d ⇒

d = y/sin(x)

for this case we have by definition, if two lines are perpendicular, then the product of their slopes is -1.

then, given the following line:

so,

we are looking for m_ {2}:

then, the line is given by:

we find "b" replacing the given point:

finally, the equation is:

option c