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Angle of Elevation and Depression...

Angle of Elevation and Depression

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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.

A man on the deck of a ship, 16 m above water level, observes that the angles of elevation and depression repectively of the top and bottom of a cliff are 60^(@) and 30^(@) . Calculate the distance of the cliff from the and height of the cliff.

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

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.

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 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)

The angles of elevation oand depression of the top and bottom of a lighthouse from the top of a building, 60 m high, are 30^(@) and 60^(@) respectively. Find (i) the difference between the heights of the lighthouse and the building. (ii) distance between the lighthouse and the building.

Explain the angle of elevation & depression with the help of diagram.

Problems based on finding the angle of elevation/depression Ex- If the height of the pole is 2sqrt(3) meters and the length of the shadow is 2 meters,find the angle of the elevation of the sun