MHB Help Me Visualize: Height of a Mountain

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I'm having a hard time setting up an image of this problem. Can you provide one? Thanks!
 

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Try drawing a diagram...you will get 3 right triangles with special angles. Can you make progress from there?
 
is this correct?
 

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Seemingly by some mathematical coincidence, a hexagon of sides 2,2,7,7, 11, and 11 can be inscribed in a circle of radius 7. The other day I saw a math problem on line, which they said came from a Polish Olympiad, where you compute the length x of the 3rd side which is the same as the radius, so that the sides of length 2,x, and 11 are inscribed on the arc of a semi-circle. The law of cosines applied twice gives the answer for x of exactly 7, but the arithmetic is so complex that the...

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