SOLUTION: The pyramid is 146.5 m high. When Rowena stands far away from the pyramid, her line of sight to the top of the pyramid forms an angle of elevation of 20 degrees with the ground.

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Question 303196: The pyramid is 146.5 m high. When Rowena stands far away from the pyramid, her line of sight to the top of the pyramid forms an angle of elevation of 20 degrees with the ground. What is the horizontal distance between the center of the pyramid and Rowena?
Thanks for your help.
Answer by nyc_function(2741) About Me  (Show Source):
You can put this solution on YOUR website!
The horizontal distance between the center of the pyramid and Rowena is the same distance from the base of the pyramid to the where she is standing.
The tanget function tells us that in a right triangle the fraction formed is
opposite divided by adjacent.
We use the tangent function to find our distance.
Let x = horizontal distance between the center of the pyramid and Rowena.
tan(20) = 146.5/x
x(tan(20)) = 146.5
x = 146.5/tan(20)
x is about 402.51 meters.