at a point the angle of elevation of a tower is such that it's tangent is 5/12. on walking 240m nearer the tower the tangent of the angle of elevation becomes 3/4. find the height of the tower
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Answer:
The height of the tower is 225m.
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
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