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From the top of a building …

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From the top of a building 60m high , the angle of depression of the top and bottom of a tower are observe to be30 degree and 60 degree.find the height of the tower Plz solve this question

Posted by Ricky Roy 7 years, 2 months ago

CBSE > Class 10 > Mathematics

4 answers

Prince Garg 7 years, 2 months ago

How image is added..??

Priyanshu Singh 7 years, 2 months ago

H= 80 m

Shruti Singh 7 years, 2 months ago

How you added images ???

Gaurav Seth 7 years, 2 months ago

Let BC be the building and AD be the tower.

Let the height of tower, AD be h m.

Angles of depression of the top D and the bottom A of the tower CB are 30° and 60° respectively.

∴ ∠CDE = 30°

∠CAB = 60°

Since, BC = 60 m.

∴ CE = (60 – h) m

Let AB = DE = x m

In ∆DEC,

In ∆CBA,

Equating equation (1) and (2),

⇒ 3 (60 – h) = 60

⇒ 180 – 3h) = 60

⇒ 180 – 60 = 3n

⇒ 120 = 3h

⇒ h = 40

Thus, the height of the tower is 40 m.

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This content has been hidden. One or more users have flagged this content as inappropriate. Once content is flagged, it is hidden from users and is reviewed by myCBSEguide team against our Community Guidelines. If content is found in violation, the user posting this content will be banned for 30 days from using Homework help section. Suspended users will receive error while adding question or answer. Question comments have also been disabled. Read community guidelines at https://mycbseguide.com/community-guidelines.html

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