What is the length of Segment MN?
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The question is modelled as shown in the diagram below
We have the angle, 30° and we know the length of the side opposite the angles, 25000 feet. We are looking for the ground distance between the plane and the tower. We will use the trigonometry ratio of Tan
The distance between the point directly beneath the plane and the tower is 43301.3 feet (rounded to 2dp)
We have the angle, 30° and we know the length of the side opposite the angles, 25000 feet. We are looking for the ground distance between the plane and the tower. We will use the trigonometry ratio of Tan
The distance between the point directly beneath the plane and the tower is 43301.3 feet (rounded to 2dp)
Slope intercept form is 
where
is the slope
and
is the y-intercept
they give us that the slope is 2
so our
then to find , we temporarily plug in the point they gave us for x and y
so
and solve for
3 = 2 + b
1 = b
so our
put this together and we get
as our answer
where
and
they give us that the slope is 2
so our
then to find
so
and solve for
3 = 2 + b
1 = b
so our
put this together and we get