The angles of elevation and depression of the top and bottom of a light-house from the top of a 60 m high building are 30° and 60° respectively. Find:
(i) the difference between the heights of the light-house and the building.
(ii) the distance between the light-house and the building
(SOLVE BOTH QUESTIONS PLIZ)
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Answer:
Distance between building and watchtower = 20√3m
Difference between height of building and the tower is 20 m.
Solution:-
Height of building = 60 m
Angle of elevation = 30 degrees
Depression of height = 60 degrees
Height of building is denoted as AB and height of watchtower is denoted as DE.
tan 60=(AB/BE)=60/BE
BE=60/√3=20√3m
Distance between building and watchtower =20√3m
To find difference in height of the buildings:tan 30=h/20√3 1/√3=h/20√3
Height, h = 20 m
Difference between height of building and the tower is 20 m.
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rapunzel4056:
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