What is the length of the hypotenuse of a right triangle with legs of 50 ft. and 120 ft. ?
1 answer:
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The plane will make an angle with the runway.
Explanation:
Given that the plane is flying at an altitude of 11 miles and is 193 miles from the runway, as measured from the ground.
We need to determine the angle that the plane will make with the runway.
From the given measurements, we can see that it is a right angled triangle. Hence, let us use the tangent formula to determine the angle.
The formula for the tangent is given by
Where and
Substituting these values in the above equation, we get,
Dividing, we get,
Taking on both sides of the equation, we get,
Simplifying, we have,
Hence, the angle that the plane will make with the runway is