Question
Fri April 04, 2014 By: Himashree Ponrajan

The height of a house subtends a right angle at the opposite window.The angle of elevation of the window from the base of the house is 60*.If the width of the roaad is 6m,find the height of the house.

Expert Reply
Sun April 06, 2014
Given that the angle of elevation = 60 degree
 
Width of the road = 6 m
 
Consider the following figure:
 
 
In this figure, CD is the height of the house and A is the position of the window.
 
Let h be the height of the house.
 
Thus, AB=CD=h
 
Now consider the triangle ABC:
 
tan 60 degree equals fraction numerator A B over denominator B C end fraction rightwards double arrow square root of 3 equals h over 6 rightwards double arrow h equals 6 square root of 3 space m
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