SOLUTION: the angle of elevation of the top of a tree from a point P is 7o. After walking 30m towards the tree, the angle of elevation becomes 9.1, find the height of the tree

Question 843524: the angle of elevation of the top of a tree from a point P is 7o. After walking 30m towards the tree, the angle of elevation becomes 9.1, find the height of the tree
Answer by KMST(5328) (Show Source): You can put this solution on YOUR website!
Here is a sketch illustrating the problem:
To show those right triangles clearly, I had to draw the angles much wider than and .
The height of the tree is .
After walking towards the tree, at a distance from the base of the tree, the angle of elevation becomes and
<--->
From point P, at a distance from the base of the tree, the angle of elevation was and
<--->

From now on we calculate approximate values, rounding as needed.

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