The angle of elevation of the top of a building from the top and bottom of a tree are x and y respec...........

Quantitative Aptitude ( CCS) Trignometry

The angle of elevation of the top of a building from the top and bottom of a tree are x and y respectively. If the height of the tree is h metre, then (in metre) the height of the building is

h cot x / cot x + cot y

h cot y / cot x + cot y

h cot x / cot x - cot y

h cot / cot x - cot y

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Explanation:

Given, the height of the tree, CD = h metre
Let, the height of the building, AB = H metre
And, BC = a metre
∴ AE = AB – EB = (H – h) metre [? CD = BE]
In ΔABC,