the top of a hill is 40m tall. the horizontal distance from the runaway is 325 m. if the pilot clear the top of the hill by 45 m, what is the angle of takeoff?
To determine the angle of takeoff, we can use trigonometry, specifically the tangent function. The tangent of an angle is equal to the ratio of the length of the opposite side to the length of the adjacent side.
In this case, the opposite side is the vertical distance cleared by the pilot (45m), and the adjacent side is the horizontal distance from the runway to the top of the hill (325m).
So, we have:
tangent(angle of takeoff) = opposite / adjacent
tangent(angle of takeoff) = 45m / 325m
To find the angle of takeoff, we can take the inverse tangent (arctangent) of both sides of the equation:
angle of takeoff = arctan(45m / 325m)
Using a calculator, we can find the arctangent of this ratio, giving us the angle of takeoff.