How High is the Arrow at 150 Meters Downrange?

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To determine the height of an arrow shot at 45 m/s at a 50-degree angle after traveling 150 meters, one must use projectile motion equations. The horizontal and vertical components of the initial velocity can be calculated, and the time of flight to reach 150 meters can be determined. Using this time, the vertical position can be calculated to find the height at that distance. The discussion emphasizes the importance of showing work when seeking help with such problems. Accurate calculations will provide the precise height of the arrow at 150 meters downrange.
physicnow
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Hi,
I have an problem that I can not get the answer, any help would be greatly appreciated.

An archer shoots an arrow with a velocity of 45m/s at an angle of 50 degrees with the horizontal. What is the height of the arrow at a point 150 meters downrange?
 
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