SOLUTION: A rocket reaches a height of 300 √3 m. A crowd observing the launch stands 300 m away. What is the maximum angle θ, in which the crowd observes the launch. 30 45 60 75

Question 1140283: A rocket reaches a height of 300 √3 m. A crowd observing the launch stands 300 m away. What is the maximum angle θ, in which the crowd observes the launch.
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45
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75
Answer by greenestamps(13203) (Show Source): You can put this solution on YOUR website!

Note the problem is poorly worded. Assuming the area surrounding the launch site is flat, the angle at which the crowd observes the launch is 0 degrees, which is not one of the choices.

Clearly the intent of the problem was to ask the maximum angle the crowd needs to observe the rocket at its highest point.

At the rocket's highest point (again assuming a flat area around the launch site), the distance of the crowd from the launch site is the adjacent side of the angle, and the height of the rocket is the opposite side. So we have

Opposite over adjacent is tangent; which of the answer choice angles has a tangent of sqrt(3)?
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