Math, asked by ektathakral123456, 4 months ago

the angle of elevation of top of tower from two point at a distance of 9m and 16 m representative from base in same straight line with it are complementary find the height of tower​

Answers

Answered by Anonymous
1

Answer:

∠C and ∠D are complementary .....given

In △ABC,

BC

AB

=tanQ ...(i)

In △ABD,

BD

AB

=tan(90−Q)

9

AB

=cotQ ...(ii)

9

AB

=

tanQ

1

andtanQ=

AB

7

Put value of tanQ in eqn (ii)

BC

AB

=

AB

9

AB

2

=9BC

AB=

36

=6

Height of tower =6m

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