An observer from the top of a house 6m high observe, just the front found an angle of elevation of the top of the pillar is 60 degree. If the distance between the pillar and house is 12 root 3 m find the height of pillar.
Answers
Step-by-step explanation:
Correct option is B)
in △ADE
tan60
o
=
DE
60
⇒DE=
3
60
=20
3
and we can see that , BCDE is a rec\tan gle
so, BC=DE⇒BC=20
3
and BD=CE.......(1)
and in △ABC
tan30
o
=
20
3
AB
⇒AB=20
3
×
3
1
=20
Now, as AD=AB+BD⇒60=20+BD⇒BD=40
and from (1)
BD=CE=40 (which is the height of the Building)
Therefore, Answer is 40
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SIMILAR QUESTIONS
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From the top of a cliff 200 metres high, the angles of depression of the top and bottom of a tower are observed to be 30
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