a tree stands vertically on a hill side which makes an angle of 15degree with the horizontal. from a point on the ground 35m down the hill from the base of the tree, the angle of elevation of the top of the tree is 60degree. find the height of the tree.

ans(35root2m) plese tell the xact solution

Let PQ be tree and A be the point on ground

AR such that AP = 35 m

Now ∠QAR = 60° and ∠PAR = 15°

⇒∠PAQ = ∠QAR – ∠PAR = 60° – 15° = 45°

⇒∠AQP = 90° – ∠QAR = 90° – 60° = 30°

Using such rule we get

Hence the required height of the tree is .

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