What is the measure of the angle labeled (5x+42)° ?
2 answers:
These angles are known as alternate interior angles. A fact about them is that they are always congruent. Since they are congruent, we can set them equal to each other:
Let's find the value of x so that we can find what (5x + 42) is:
x = 15 so we can plug that in to find the angle:
Thus, that angle is equal to 117°.
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Let's begin by listing out the information given to us:
8 am
airplane #1: x = 80870 ft, v = -450 ft/ min
airplane #2: x = 5000 ft, v = 900ft/min
1.
We must note that the airplanes are moving at a constant speed. The equation for the airplanes is given by:
2.
We equate equations 1 & 2 to get the time both airlanes will be at the same elevation. We have:
3.
The elevation at that time (when the elevations of the two airplanes are the same) is given by substituting the value of time into equations 1 & 2. We have: