Coterminal angles are different angles that have the same terminal side.
A positive angle has one turn more around so it has a measure of 100°+360° = 460°.
A negative angle will have a measure that is represented in clockwise rotation and be equal to 100° - 360° = -260°.
We can sketch an angle of measure 100°, a positive coterminal angle and a negative coterminal angle as:
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Explanation:
x = number of seconds that elapse
y = altitude (aka height) of the plane
The equation for plane A is
y = 20.25x+2652
because it starts off at 2652 ft in the air, and then adds on 20.25 feet per second which is what the 20.25x describes
The equation for plane B is
y = 75.5x
The y intercept is zero because plane B starts on the ground, aka height 0.
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The system of equations is
If we want to know when they'll reach the same height (y), then we can set the two right hand sides equal to each other and solve for x.
75.5x = 20.25x+2652
75.5x-20.25x = 2652
55.25x = 2652
x = (2652)/(55.25)
x = 48
The two planes reach the same altitude at exactly <u>48 seconds</u>
That altitude is <u>3624 feet</u> because
Notice I plugged x = 48 into each equation and I got the same y value of y = 3624. This helps confirm the answers.