A tree is broken at the height of 12 m from the ground and it's top touches the ground at a distance of 35 m from the base of the pole due to strong winds. Find the original height of the pole
Answers
Answer:
47 m
Step-by-step explanation:
the height of the tree = the height were the tree has broken + the distance
from the base
= 12 m + 35m
= 47 m
therefore the original height of the tree = 47 m
PLS MARK AS THE BRAINLIEST
Answer:
49 m
Step-by-step explanation:
This forms a right angled triangle with height = 12 m , base = 35 m.
We will need to calculate the hypotenuse which is the height of top part of tree.
Using Pythagoras theorem,
Hypotenuse² = Height² + Base²
= (12)² + (35)²
= 144 + 1225 = 1369.
Hypotenuse = √1369 = 37 m.
So the original height of tree = 37 + 12 = 49 m.