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Grade 12th PassDiscuss with colleagues and IITians

From a window {h meters above the ground} of a house in a street the angles of elevation and depression of the top and the foot of another house of opposite side of the street are 'a' and 'b' respectively. Show that the opposite height of house is h(1 + tan a cot b).

Vikas TU

15 Years agoGrade 12th Pass

1 Answer

Rhinithaa PT

Approved Tutor Answer15 Years ago

tanb= h/x

x= h/tanb = hcotb----- 1

tana= y/x

y= x*tana -----2

substituting for x

y= h*cotb*tana

therefore total height of the building = h+y

h+y = h + h*cotb*tana

h +y = h( 1+cotb*tana)

hence proved

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