SOLUTION: please help me in the finding the height of a tree,If the angle of elevation on its top changes from 25° to 50° as the observer advances 15 metres towards its base

Algebra ->  Trigonometry-basics -> SOLUTION: please help me in the finding the height of a tree,If the angle of elevation on its top changes from 25° to 50° as the observer advances 15 metres towards its base      Log On


   



Question 1028245: please help me in the finding the height of a tree,If the angle of elevation on its top changes from 25° to 50° as the observer advances 15 metres towards its base
Answer by fractalier(6550) About Me  (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