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A camera is mounted at a point 4,500 ft from the base of a rocket launching pad.Assuming the rocket rises vertically, what is the height of the rocket from its basewhen the camera angle is 30°? Round your answer to the nearest foot.

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Solution

For this case we can do the following graph:

For this case we can find the value of y using trigonometry like this:

tan 30 = y/4500

And solving for y we got:

y= 4500 * tan 30= 2598.98

Rounded the answer is 2599 ft

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