Q. 594.8( 5 Votes )
The angle of elevation of the top of a hill at the foot of a tower is 60° and the angle of elevation of the top of the tower from the foot of the hill is 30°. If the tower is 50 m high, what is the height of the hill?
In the fig DC is the tower and AB is the hill.
tan 30° =
BC = 50√3 m
tan 60° =
AB = 50√3× √3 m ⇒ 150m
Therefore the distance between tower and hill is 50√3m and height of hill is 150m
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PREVIOUSA boy is standing on the ground and flying a kite with 100 m of string at an elevation of 30°. Another boy is standing on the roof of a 10 m high building and is flying his kite at an elevation of 45°. Both the boys are on opposite sides of both the kites. Find the length of the string that the second boy must have so that the two kites meet.NEXTTwo boats approach a light house in mid-sea from opposite directions. The angles of elevation of the top of the light house from two boats are 30° and 45° respectively. If the distance between two boats is 100 m, find the height of the light house.
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