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From the top of a hill …

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From the top of a hill the angle of depression of two consecutive kilometer,stone due east are found to be 30° and 60° , find height of the hill ?

Posted by Ridhima Sen 6 years, 10 months ago

CBSE > Class 10 > Mathematics

1 answers

Jatt Putt Aryan???? 6 years, 10 months ago

In triangle ABC, tan 45 = height/base = AB/BC or, 1 = AB/BC [ As tan 45 degree = 1] or, AB = BC ..........(i) Again, triangle ABD, tan 30 = AB/BD or, [tan 30 =1/1.732] or[ As AB = BC from (i) above] or, 1.732 AB = AB +1 or, 1.732 AB - AB = 1 or, AB(1.732-1) = 1 or, AB * 0.732 = 1 or AB = 1/0.732 = 1.366 Hence height of the hill 1.366 km

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