At a point on level ground, the angle of elevation on the vertical tower is found to be such that its tangent is 5/12. on walking 192mts towards the tower, the tangent of the angle is found to be 3/4, find the height of the tower
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first case:-
tan@=5/12 = height of tower /distance (d) ---------------(1)
second case:-
3/4 = height of tower /(d-192)-------(2)
from equation (1) and (2)
3 (d-192)/4=5d/12
9 (d-192)=5d
9d - 1728=5d
4d=1728
d=432 m
now
height of tower =5 x 432/12 =5 x 36=180 m
tan@=5/12 = height of tower /distance (d) ---------------(1)
second case:-
3/4 = height of tower /(d-192)-------(2)
from equation (1) and (2)
3 (d-192)/4=5d/12
9 (d-192)=5d
9d - 1728=5d
4d=1728
d=432 m
now
height of tower =5 x 432/12 =5 x 36=180 m
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