Aremote control airplane descends at a rate of 3 feet per second. after 6 seconds the plane is 89 feet above the ground. which equation models this situation and what is the height of the plane after 12 seconds?

y-89= -3(x-6) ; 71 feet.

i just don't understand how they got that equation.

Step-by-step explanation:

In this question descending height of an airplane, when plotted on a graph shows a straight line.

So the linear graph will represent y - y ' = m(x - x')

where y represents the height and x represents the time.

Remote control airplane descends at a rate of 3 feet per second.

This represents rate of decrease in the height = m (slope of the line) = -3 (minus notation is because height is decreasing)

Now it is given that airplane is at 89 feet above the ground after 6 seconds.

That means line passes through a point (6, 89).

By putting these values in the equation

y - 89 = -3(x - 6)

We have to find the height of the airplane after x = 12 seconds.

y - 89 = -3(12 - 6)

y - 89 = -18

y = 89 - 18

y = 71 feet.

b is 38 degrees.

a is 52 degrees.

this is because if b is 38 and a is 14 degrees more than b than 38+14=52 and 52+38=90 degrees. hope this .