Due to storm and rain a tree broke and fell on a road which prevented the people and
vehicles to pass by. A group of children decided to solve the problem. They lifted the
(a) If the width of the road was 4 m and length of the broken part removed was 5 m, what
was the height of the tree?
proken part and put it aside. All were very thankful to these brave children.
(b) What value of the children is depicted here?
MONS
Tree
5 m
Tree
(broken
part)
4 m
Road
Answers
Answer:
(a) The tree was 8m tall.
(b) Care and Global citizenship towards their community.
Step-by-step explanation:
(a)
We know that,
The tree was standing perpendicular to the ground, which means it would make 90° with the ground.
Now, the road was 4m wide and the broken branches fell on to the road which was 5m long.
I have uploaded an image above please refer it now.
We can see that it forms a right triangle,
Let's mark it XYZ,
So,
XY is perpendicular to YZ
and,
YZ = 4m
XZ = 5m
We know that, it is a right triangle,
thus, By Pythagoras theorem,
XY² + YZ² = XZ²
XY² = XZ² - YZ²
XY² = 5² - 4²
XY² = 25 - 16
XY² = 9
XY = √9
XY = 3m (We need not considered the negative value, because distance is never negative)
Now,
Total height of the tree(YXZ) = XY + XZ
= 3 + 5
= 8m
Thus, the height of the Tree was 8m.
(b)
Care and Global citizenship towards their community.
Hope it helped and you understood it........All the best
Answer:
Hope it's help
Answer is above
