Approximate the horizontal and vertical components of the vector that is described. A child pulls a sled through the snow by exerting a force of 20 pounds at an angle of 40° with the horizontal.

Rule of finding the components of a vector a with magnitude r that makes an angle with positive x-axis:

Consider the vector that has radius r makes an angle O with positive x-axis. Then the component wise representation of the vector is

a=(x,y)

where,

x=rcos∅

y=rsin∅

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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)

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step-by-step explanation: