the angle of elevation of the top of a tower at a point 120m from its base is 45° how much higher should it be raised so that the elevation at the same point may become 60°
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khushboo7399:
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B C =height of tower
C D =Height of flag
IN TRAINGLE A B C
tan 45 degree=
1=bc
120
B C=120
Also ,IN TRAINGLE A B D
tan 60 degree=B D
A B
B D =120 under root 3
so,height of flag =B D -B C
120 Under root -120
=120 (under root 3 - 1)
=120× 0.732
= 87 .84 m
C D =Height of flag
IN TRAINGLE A B C
tan 45 degree=
1=bc
120
B C=120
Also ,IN TRAINGLE A B D
tan 60 degree=B D
A B
B D =120 under root 3
so,height of flag =B D -B C
120 Under root -120
=120 (under root 3 - 1)
=120× 0.732
= 87 .84 m
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