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A vertical tower stands On a …

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A vertical tower stands On a horizontal plane and is surmounted by a vertical flagstaff of height h at a point on the plane, the angles of elevation of the bottom and the top of the flagstaff are alpha and beta respectively. Prove that the height of the tower is ( h tan alpha/ tan beta - tan alpha)

Posted by Gopika Satheesh 4 years, 11 months ago

CBSE > Class 10 > Mathematics

2 answers

Gopika Satheesh 4 years, 11 months ago

Thank you

0Thank You

Gaurav Seth 4 years, 11 months ago

Proof:

The diagram for this sum is attached below

Let AB be the tower and BC be the flagstaff. Let OA = x metre, AB = ‘y’ metre and BC = ‘h’ metre.

In right ∆OAB,

On cross-multiplication we get,

→ (1)

In right ∆OAC

→ (2)

Equating equation 1 and 2 we get,

Thus the height of the tower is h tan alpha/tan beta - tan alpha is proved

1Thank You

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