Question

A person is standing at 20√3 m
away from a building and
watching at the top of the
building 20 m high find the
angle of elevation​

Answer 1

Step-by-step explanation:

Let A be the position of the bird and E and C be the positions of the girl and the boy, respectively.

Then,

∠ACB=30

o

,∠AED=45

o

,AC=100 m,EF=20 m

In right △ACB,

we have,

sin30

o

=

AC

AB

2

1

=

100

AB

AB=50 m

AD=AB−BD

AD=50−EF

AD=50−20=30 m

In right △ADE, we have,

sin45

o

=

AE

AD

2

1

=

AE

30

AE=30

2

=42.3 m

Therefore, the distance of bird from the girl is 42.3 m.

solution

Answer 2

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$42.3 m$