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The angle of elevation from a …

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The angle of elevation from a top of a tower from the points p and q and distances a and b respectively from the base and in the same straight line with it are complementary prove that the hight of the tower is rootab

Posted by Manan Pareek 4 years, 8 months ago

CBSE > Class 10 > Mathematics

1 answers

Gaurav Seth 4 years, 8 months ago

AB is a tower. D and Care two points on the same side of a tower, BD = a and BC = b.

∠ADB and ∠ACB are the complementary angles.

If ∠ADB = x, then ∠ACB = 90 – x

In ∆ADB,

………… (1)

In ∆ABC,

…………....(2)

Multiplying (1) and (2),

(AB)2 = ab

AB = √ab

Height of tower = AB = √ab

Hence proved.

0Thank You

ANSWER

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CBSE > Class 10 > Mathematics