Question
Sat November 03, 2012 By: Mohit Gulia

a tree breaks due to storm and the broken part bends so that the top the top of the tree touches the ground making an angle 30degree with it.the distance between the foot of the tree to the point where the top touches the ground is 8m.find the hieght of the tree.

Expert Reply
Sat November 03, 2012
Answer : Given: a tree breaks due to storm and the broken part bends so that the top the top of the tree touches the ground making an angle 30degree with it.the distance between the foot of the tree to the point where the top touches the ground is 8m.
To find : the hieght of the tree
 
Let y be the distance of the top of the tree touching the ground from the base of it is 8m
 
The total hieght of the tree is x+z
 
=> x / y= tan 30
=> x /8 = tan 30
=> x = 8 * 3-1/2
=> x = 4.62 m (approx)
 
=> x / z = sin 30
=> z = x / sin30
=> z= 4.62/sin30 = 9.24 (approx)
 
therefore the total hieght of the tree is x + z = 4.62 +9.24 
= 13.86 m (approx ) Answer
Sun March 26, 2017

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