At a point the angle of elevation of a tower is such that its tangent is 5 12 In walking 240m near t...........

Quantitative Aptitude (CGL) Height and Distance

At a point,the angle of elevation of a tower is such that its tangent is 5/12. In walking 240m near to the tower,the tangent becomes 3/4. Find the height of the tower.

225

112

300

425

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Explanation:

The height of the tower is 225 m.
Step-by-step explanation:
tan (angle) = height / distance
5/12 = h / ( x + 240 )
3/4 = h / x
When we cross multiply :
12 h = 5 x + 1200
4 h = 3 x
9 x = 5 x + 1200
4 x = 1200
x = 1200 : 4
x = 300
h = 3 * 300 / 4
h = 225 m