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A tower of height h stands on level ground and is due north of point A and due east of point B. At A and B, the angles of elevation of the top of the tower are α and β, respectively. If the distance AB is c, show that
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| Photo by Math Principles in Everyday Life |
Solution:
In the given figure above, there are three right triangles involved. Let's solve for the height h in terms of α, β, and c as follows
By Pythagorean Theorem
Take the square root on both sides of the equation, we have
Therefore,
