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```
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).
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

Rhinithaa PT
19 Points
```							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
```
9 years ago
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• 731 Video Lectures
• Revision Notes
• Test paper with Video Solution
• Mind Map
• Study Planner
• NCERT Solutions
• Discussion Forum
• Previous Year Exam Questions