SOLUTION: what will be the height of a tree,If the angle of elevation on its top changes from 25° to 50° as the observer advances 15 meters towards its base?

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Question 1028243: what will be the height of a tree,If the angle of elevation on its top changes from 25° to 50° as the observer advances 15 meters towards its base?
Answer by fractalier(6550)   (Show Source): You can put this solution on YOUR website!
Hard to draw this for you, but if you draw the diagram, you can determine that the supplement to the 50 degree angle is 130 degrees. That means the farther triangle is isosceles, having angles of 25-25-130 degrees. That means that the hypotenuse of the inner triangle is also 15 m. Now use the sine relationship to write
sin 50 = h/15
h = 15 sin 50 = 11.5 m tall

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