This is for geometry.
A surveyor could not measure a distance ending directly a mountain so he marked two locations, A and B, 1000 meters apart. He then measured the angle of elevation of the top of the mountain from each of these locations. Find the height of the mountain. (Solve by writing a pair of equations.)

[Note: There's a diagram included. It's basically a triangle within a triangle. The inner triangle is a 30-60-90 right triangle, and the bottom leg is marked as "B". Then, there's another triangle extending from the same height vertex, forming "A" which has 21 degrees for the bottom.

Question

This is for geometry.
A surveyor could not measure a distance ending directly a mountain so he marked two locations, A and B, 1000 meters apart. He then measured the angle of elevation of the top of the mountain from each of these locations. Find the height of the mountain. (Solve by writing a pair of equations.)

[Note: There's a diagram included. It's basically a triangle within a triangle. The inner triangle is a 30-60-90 right triangle, and the bottom leg is marked as "B". Then, there's another triangle extending from the same height vertex, forming "A" which has 21 degrees for the bottom.

anonymous · Answer

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P: There's a diagram. Thanks in advance! :).