The horizontal distance from the plane's starting position to its finishing position is 13.33 kilometers if the horizontal distance x is 4 km, and horizontal distance y is 6.33 km
What is a right-angle triangle?
It is defined as a triangle in which one angle is 90 degrees and the other two angles are acute angles. In a right-angled triangle, the name of the sides are hypotenuse, perpendicular, and base.
When the airplane takes off, the horizontal distance is x units, and it makes a right angle triangle(as shown in the picture) so applying Pythagoras theorem to find the value of x
5² = 3² + x²
25 = 9 + x²
25 - 9 = x²
x = 4 units
When, the airplane start to lands, the horizontal distance in this case is y units.
Again, applying Pythagoras theorem to find the value of y:
7² = 3² + y²
49 = 9 + y²
40 = y²
y = 6.324 km ≈ 6.33 km
Total horizontal distance:
= x + 3 + y
= 4 + 3+ 6.33
= 13.33 km
Thus, the horizontal distance from the plane's starting position to its finishing position is 13.33 kilometers if the horizontal distance x is 4 km, and horizontal distance y is 6.33 km
Learn more about the right angle triangle here:
brainly.com/question/3770177
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