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Grade: 12th Pass

                        

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).

9 years ago

Answers : (1)

Rhinithaa PT
19 Points
							

975_25568_Capture.JPGtanb= 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

9 years ago
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