An airplane flies 56 miles due north than 33 miles due east. How many miles is the plane from its starting point?
1 answer:
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<h2>Answer:</h2>
This relation is a function because a function, in fact this is a linear function. We have that:
As you can see below, all the points have been plotted an this is a linear function. Therefore, with two points we can get the equation, so:
Finally, the equation is:
Using the outside angle theorem, the measure of angle CDE is: 70°.
<h3>How to Apply the Angle of Intersecting Tangents Theorem?</h3>According to the angle of intersecting tangents theorem, we would have the following equation using the diagram given:
Angle CDE = ½(measure of arc CBE - measure of arc CE)
Given the following:
- Measure of arc CE = 110°
- Measure of arc CBE = 360 - 110 = 250°
Plug in the values into the equation
Angle CDE = ½(250 - 110)
Angle CDE = 70°
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