The angle of elevation of the sun(in degrees), when the length of the shadow of a tree is equal to the height of the tree, is:
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45°.
Proof: In a triangle ABC,
let the length of shadow of tree be BC, length of tree be AB.
Since BC=AB,
BC/AB = 1-----------(!)
Tan 45° = 1----------(!!)
Therefore,BC/AB = Tan 45°
Hence,Angle of elevation = 45°.
Proof: In a triangle ABC,
let the length of shadow of tree be BC, length of tree be AB.
Since BC=AB,
BC/AB = 1-----------(!)
Tan 45° = 1----------(!!)
Therefore,BC/AB = Tan 45°
Hence,Angle of elevation = 45°.
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