32 The angles of depression and elevation of the top of a wall 11 m high from top and bottom of a tree are 60° and 30°
respectively. What is the height of the tree?
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Concept:
The term "angle of elevation" refers to the angle that exists between the horizontal and an object. The line of sight of an observer would be above the horizontal. The term "angle of depression" refers to the downward angle from the horizontal to an item. The line of sight of an observer would be below the horizontal.
Given:
The height of the wall is .
The angle of elevation and depression is respectively.
To Find:
Height of tree
Solution:
Let be the tree and be the wall.
It is given that .
Find side .
Find value of
Find the height of the tree
Therefore the height of the tree is .
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