Home
Class 12
MATHS
From a window ( h meter above ground) th...

From a window ( h meter above ground) the angle of elevation of other house is `theta` and angle of depression is `phi`. Find the height of the house.

Text Solution

Verified by Experts

`tanphi=h/a,tantheta=(t-h)/a`
`tanphi/tantheta=h/(t-h)`
`htantheta=(t-h)tanphi`
`htantheta=ttanphi-htanphi`
`htantheta+htanphi=tanphi`
`h(tantheta+tanphi)=tanphi`
`t=(h(tantheta+tanphi))/tanphi`
`t=h(1+tantheta/tanphi)`
...
Promotional Banner

Similar Questions

Explore conceptually related problems

From a window (h metres high above the ground) of a house in a street, the angle of elevation and depression of the top and the foot of another house on the opposite side of the street are theta and phi respectively. Show that the height of the opposite house is h(1+tan theta cot phi) metres.

From a window (h metres high above the ground) of a house in a street, the angles of elevation and depression of the top and the foot of another house on the opposite side of the street are theta and phi respectively. Show that the height of theopposite house is h (1 + tan theta cot phi) .

From a window 15 metres high above the ground in a street, the angles of elevation and depression of the top and the foot of another house on the opposite side of the street are 30^0a n d45^0 respectively show that the height of the opposite house is 23.66 metres (t a k esqrt(3)=1. 732)

From a window 15 metres high above the ground in a street,the angles of elevation and depression of the top and the foot of another house on the opposite side of the street are 30^(0) and 45^(0) respectively show that the height of the opposite house is 23.66 metres (take sqrt(3)=1.732)

A man is standing on the deck of a ship which is 25m above water level. He observes the angles of elevation of the top of a lighthouse as 60° and the angle of depression of the base of light house as 45°.Calculate the height of the light house.