Home
Class 10
MATHS
From a window (h metres high above the g...

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.

Text Solution

Verified by Experts

The correct Answer is:
`h(1+ tan theta cot phi)`
Promotional Banner

Topper's Solved these Questions

  • HEIGHT AND DISTANCE

    VK GLOBAL PUBLICATION|Exercise PROFICIENCY EXERCISE ( VERY SHORT ANSWER QUESTIONS I)|12 Videos
  • HEIGHT AND DISTANCE

    VK GLOBAL PUBLICATION|Exercise PROFICIENCY EXERCISE ( SHORT ANSWER QUESTIONS I)|10 Videos
  • HEIGHT AND DISTANCE

    VK GLOBAL PUBLICATION|Exercise LONG ANSWER QUESTIONS|17 Videos
  • COORDINATE GEOMETRY

    VK GLOBAL PUBLICATION|Exercise SELF-ASSESSMENT TEST|10 Videos
  • INTRODUCTION TO TRIGONOMETRY

    VK GLOBAL PUBLICATION|Exercise SELF - ASSESSMENT TEST|9 Videos

Similar Questions

Explore conceptually related problems

From a window 60 m 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 60^(@) and 45^(@) respectively. Show that the height of opposite house is 60(1+sqrt(3)) metres.

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)

From a window 15m high above the ground in a street,the angle of elevation and depression of the top and foot of another house on the opposite side of the street are 30^(@) and 45^(@) respectively.Then the height of opposite house in meters is

From a window 15m high above the ground in a street,the angle of elevation and depression of the top and foot of another house on the opposite side of the street are 30^(@) and 45^(@) respectively.Then the height of opposite house in meters is

A window of a house is h metres above the ground. From the window, the angles of elevation and depression of the top and bottom of another house situated on the opposite side of the lane are found to be alpha and beta respectively. Prove that the height of the house is h(1 + tan alpha cdot tan beta) metres.

From a window, 60 metres high above the ground, of a house in a street, the angles of elevation and respectively. Show that the height of the opposite house is 60(sqrt3+1) metres.

From the top of a house A in a street, the angles of elevation and depression of the top and foot of another house B on the opposite side of the street are 60^(@) and 45^(@) , respectively. If the height of house A is 36 m, then what is the height of house B? (Your answer should be nearest to an Integer.

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.

The angles of elevation and depression of the top and bottom of a light house from the top of a building 60 m high are 30^(@) and 60^(@) respectively. Find The difference between the height of the light house and the building.