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Question

The angle of depression of 47 m high building from the top of a tower 137 m high is 30. Calculate the distance between the building and the tower

A
903 m
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B
805 m
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C
703 m
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D
None of these
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Solution

The correct option is A 903 m
Let AB and CD represent the tower and building respectively
The angle of depression XAD=30
In ΔADE,DE=CB=x ADE=XAD=30(alt.s)
AE=ABEB=ABDC=(13747)m=90 m
tan30=AEDE
13=90x
x=903 m

268970_291385_ans_c7ed2deafb5f4d3ea280438470043201.png

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