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Problems on Angles of Elevation

Example

Joseph wants to measure the height of a tree. He walks exactly 20 metres from the base of the tree and looks up. The angle made from the ground to the top of the tree is 45º. How tall is the tree?

Solution

Let AB be the distance between Joseph and the foot of the tree and AC be the height of the tree.

In Δ ABC,

∴ The height of the tree is 20 m.


 

Example

The length of the shadow of a lamp post is  times its height. Find the angle of elevation of the source of light.

Solution


Let AB be the height of the source of light (i.e.) x.

⇒ The length of shadow = x

In the triangle ABC,

 





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