a vertical tower stands on a horizontal plane and is surmounted by a flagstaff of height 6m from a point A on the plane the angle of elevation of the bottom and top of the flagstaff are respectively 30deg and 45deg . find the height of the tower and the distance of the point A from the foot of the tower.
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let OD be the hieght of flagstaff .
and let height of tower be x named as DC
In triangle, ADC
tan 30= h/x
1/root3= h/x
h=x/root3.............eqn (1)
In triangleAOB
tan45=6+h/x
h=x-6..............eqn(2)
from 1 and 2
x=6root3/root3-1
hence h=6root3/3-root3
and let height of tower be x named as DC
In triangle, ADC
tan 30= h/x
1/root3= h/x
h=x/root3.............eqn (1)
In triangleAOB
tan45=6+h/x
h=x-6..............eqn(2)
from 1 and 2
x=6root3/root3-1
hence h=6root3/3-root3
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8
Step-by-step explanation:
8.19 m is the correct Answer
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