A tree is broken by the wind but does not separate. If the point from where it breakes is 9m above the ground and its top touches the ground at a distance of 12m from its foot. Findout the total height of the tree before it broke
Answers
Answer:
24 m
Step-by-step explanation:
So the diagram is provided, (ignore the calculations above the diagram)
Now if we concentrate on the diagram we can see that the tree has taken a right angled triangle's shape .
So on this we can apply the Pythagoras theorem
[tex]hypotenuses + 9 = total height
Now, Hypotenuses = √ ((9)² + (12)²)
So hypotenuses = √(225)
= 15 m
So cutting back to Hypotenuse + 9 = height
The total height of the tree shall be 15 +9 = 24 m
Answer:
24m
Step-by-step explanation:
So, point from where it broke was 9m above the ground.
Its top touched the ground at a distance of 12m.
So according to Pythagoras Theorem,
a sq. + b sq. = c sq.
9sq. + 12sq. = c sq.
81 + 144 = c sq.
225 = c sq.
15 = c
C=15m
So the height will be = 15+9=24m.(ans)