Answer :
Final answer:
The statement that justifies Mike's calculation of the angle x to be 115° in the intersecting runway scenario is 'The sum of the angles around a point is 360°'. This is because the three runways intersect at one point, essentially forming a circle, and the sum of the angles in a circle is 360°.
Explanation:
The question is essentially asking for the mathematical reasoning behind the calculation of the angle of intersecting runways. Given this scenario, runway 12L and 12R are parallel and crossed by a third runway, forming angles at the intersecting points. If the value of angle x was calculated to be 115°, the statement that justifies this calculation is B) The sum of the angles around a point is 360°.
The reason for this is that the three runways intersect at one point and form a circle in essence, based on the properties of angle sum in a circle which is 360°. Therefore, if there are 3 angles formed by the intersecting runways, their sum should be 360°. With that, it is plausible that one of those angles could be 115°.
The other options do not justify the calculations. For instance, option A and C are incorrect since runways 12L and 12R are not perpendicular to each other, nor do all runway intersections form right angles, specifically in this case. Lastly, option D that suggests the irrelevance of runway headings to this calculation is also incorrect, since the angle is defined by the direction of the runways, i.e., their heading.
Learn more about Angles and Runways here:
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