A tree breaks due to storm and the broken part bends, so that top of the tree touches the ground making an angle of 60° with the ground. the distance from the foot of the tree to the point where the top touches the ground is 5 metres. find the height of the tree. (root 3=1.73)
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Step-by-step explanation:
The tree is making an angle of 60° with the ground(given)
Let, AB be the unbroken part of the tree
BC be the distance from the foot of the tree to the ground (BC= 5 meters)
AC represent the broken part of the tree.
∴tan(60) = AB/BC => √3 = AB/5
∴AB = 8.66 meters
Since ΔABC is right angled triangle(as the ∠ABC = 90°)
AC² = AB²+BC²
∴AC = √8.66²+5²
∴AC = 10 meters
The total height of tree,H = AB+AC
∴H = 18.66 meters.