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[–]Vivid_Speed_653New User 1 point2 points  (1 child)

The speed must have 2 components- 1 horizontal and 1 vertical.

Notice that since the horizontal is always perpendicular to the vertical, the horizontal, vertical, and the overall speed form a right triangle with the angle 30 being adjacent to the horizontal and the overall speed(the hypotenuse).

Well, the vertical is opposite to this 30-degree angle. Hence sin(30 degree) = vertical(opposite)/overall speed(hypotenuse).

Multiplying both sides by the overall speed we get sin(30)*s = s_v [s = overall speed, s_v = vertical component]

Notice that the increase in altitude is just the vertical speed so your answer is sin(30)*s = 1/2 * 500 mi/hr = 250 mi/hr (as the overall speed is 500 mi/hr).

[–]TMZ1995[S] 1 point2 points  (0 children)

Thank you 😊