A storm caused a tree to fall from a height of 6m above the ground. The
two parts of the tree did not separate and the tree top touches the ground
at a distance of 8m from its base. What was the actual height of the tree?
Answers
Answered by
6
Answer:
16 m
Step-by-step explanation:
We are given that a tree is broken at a height of 6 m from the ground
So, Right triangle is formed
So. Perpendicular = 6 m
Its top touches the ground at a distance of 8 m from the base of the tree.
So, Base = 8 m
hypotenuse ^2 = base^2 + perpendicular^2
h^2 = 64 + 36
h = √100
h = 10
hypotenuse is the length of the tree broken out
Original height = 10+6 = 16 m
Hence the original height of tree is 16 m
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Answered by
1
the perpendicular = 6 cm
the base = 8 cm
according to questions we have to find the total length of tree
so, first we have to find broken length and then we have to add the perpendicular to find actual length
so finding the length of broken length
h^2 = b^2 + p^2. ( by putting Pythagoras theorem)
h = √8^2 + 6^2
h = √64+36
h= √100
h = 10
hypotenuse= 10 but
actual length = 10 cm + 6 cm
16 cm
thus 16 cm is ans
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