A tree is hundred metre high when the sons altitude is 45° then what will be the length of its shadow.
Please draw a diagram with it
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Answer:
Here, The length of the shadow of the given tree is 100m.
Step-by-step explanation:
Here, As per our given question,
=Height of the tree=100m
=Sun's altitude=45°
[For its diagram:Take height of the tree as perpendicular of a right triangle, and as we have to find its shadow, so take the base of that triangle as its shadow and we have not any use of its hypotenuse)=(#Draw diagram by the given hint)
=So, As we have,
=Perpendicular/Base=Tan45°
Let the shadow(base) be x
=100/x=1 (Tan45°=1)
On cross-multiplying between both sides, we get,
=100=x
So, The length of its shadow will be=100m.
Thank you.
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