Management Aptitude Test 2016 Paper

Question : 96 of 200

Marks: +1, -0

The distance between two multi storied buildings is 60 m. The angle of depression of the top of the first building as seen from the top of the second building which is 150 m high is 30°. The height of the first building is _____ .

(150 + 2 $√3$ ) m
(150 - 20 $√3$ ) m
(150 + 10 $√3$ ) m
(15 -10 $√3$ ) m

Validate

Solution:

(b) Let the height of first building be h m.
Then, DE = (150 - h) m

Now,

{\DE}/{\EB}

= tan 30°
⇒

{150-h}/80=1/√3

⇒ 150 - h =

60/√3

⇒ h = 150 -

60/√3

⇒ h = 150 -

{60√3}/3

= (150 - 20

√3

) m

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