A tree casts a shadow of 4m long on the ground when the angle of elevation of the sun is 45. What is the height of the teew?
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This is a very interesting question. Since the angle of elevation on the sun is 45 degrees; this implies that the height of the tree and the shadow it casts will be equal.
You may ask why.
Here is the answer:
In a triangle with one angle being 90 degrees (which the tree makes with the ground) and the other being 45 degrees (the angle of elevation), the 3rd angle is bound to be 45 degrees (180 - 90 - 45 = 45).
We also know that sides opposite to equal angles are equal.
Hence, the height of the tree will also be 4m.
You may ask why.
Here is the answer:
In a triangle with one angle being 90 degrees (which the tree makes with the ground) and the other being 45 degrees (the angle of elevation), the 3rd angle is bound to be 45 degrees (180 - 90 - 45 = 45).
We also know that sides opposite to equal angles are equal.
Hence, the height of the tree will also be 4m.
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