A tree is supported by ropes. One rope goes from the top of the tree to a point on the ground. The height of the tree is 4 feet more than twice the distance between the base of the tree and the rope anchored in the ground. The length of the rope is 6 feet more than twice the distance between the base of the tree and the rope anchored in the ground. Find the height of the tree.

Question

pawanyadav · Answer

Let x be the distance between base of tree and rope 
So height of tree=2x+4
Length of rope=2x+6
Now apply the Pythagoras theorem as length of rope is hypotenuse
And length of tree ,distance between base of tree and rope are the two legs.