Question
A projectile is shot at a hill, the base of which is 290 m away. The projectile is shot at 60° above the horizontal with an initial speed of 78 m/s. The hill can be approximated by a plane sloped at 21° to the horizontal. Relative to the coordinate system shown in the following figure, the equation of this straight line is
y = x tan(21°) − 111.
Where on the hill does the projectile land? (Enter your answer in meters as an ordered pair in the form x, y. Do not include units in your answer.)
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