18. Aruna bought a new building for her office. She wants to put up a sign board of her company on the roof of the building.
From a point P on the ground level, the angle of elevation of the roof of the building is 30° and the angle of elevation of the
top of the sign board is 45º. The point Pis at a distance of 24 m from the base of the building.
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Answer:
tan45
o
=
BC
AC
1=
BC
80
BC=80cm
tan30
o
=
BC+CE
DE
3
1
=
80+x
80
80+x=80
3
x=80
3
−80
x=80(
3
−1)m
The bird travelled 80(
3
−1)m
Speed of bird =
Time
Distance
=
2
40(
3
−1)
=40(
3
−1)m/s
∴ Speed =40(
3
−1)m/s,
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