Answer:
<em>Could an airplane take off and clear this tall building? YES</em>
Step-by-step explanation:
<u>Trigonometry</u>
The building and the ground form a right (90°) angle. The path of the airplane (assumed a straight line) completes the right triangle.
The takeoff angle of the plane θ=15° has the height of the building (450 feet) as the opposite side and the horizontal distance from the end of the runway (2500 feet) as the adjacent side.
The tangent of θ is defined as the following ratio:
Calculating the inverse tangent function:
This means the angle needed to clear the tall building is about 10° and it's within the maximum airplane's takeoff angle.
Could an airplane take off and clear this tall building? YES