1. Two ships are sailing in the sea on the
two sides of a lighthouse. The angle of elevation of the top of the lighthouse
is observed from the ships are 30º and 45º respectively. If the lighthouse is
100 m high, the distance between the two ships is:
A. 173
m B. 200 m
C. 273
m D. 300 m
2. A man standing at a point P is watching
the top of a tower, which makes an angle of elevation of 30º with the man's
eye. The man walks some distance towards the tower to watch its top and the
angle of the elevation becomes 60º. What is the distance between the base of
the tower and the point P?
A. 43
units B. 8 units
C. 12
units D. Data inadequate
E. None
of these
3. If the height of a pole is 2√3 metres and
the length of its shadow is 2 metres, find the angle of elevation of the sun.
A. 30° B. 45°
C. 60° D. 90°
4. The
angle of elevation of a ladder leaning against a wall is 60º and the foot of
the ladder is 4.6 m away from the wall. The length of the ladder is:
A. 2.3
m B. 4.6
m
C. 7.8
m D. 9.2
m
5. An observer 1.6 m tall is 203 away from a
tower. The angle of elevation from his eye to the top of the tower is 30º. The
heights of the tower is:
A. 21.6 m B.
23.2 m
C. 24.72 m D.
None of these
6. The angle of elevation of the sun, when
the length of the shadow of a tree is √3 times the height of the tree is
A. 30°
B. 45°
C. 60° D. 90°
7. The angle of elevation of a ladder leaning
against a wall is 60° and the foot of the ladder is 4.6 m away from the wall.
The length of the ladder is
A. 2.3 m B. 4.6 m
C. 7.8
m D. 9.2 m
8. The angle of elevation of the sun, when
the length of the shadow of a tree 3 times the height of the tree, is:
A. 30º B. 45º
C. 60º D. 90º
9. A ladder learning against a wall makes an
angle of 60° with the ground. If the length of the ladder is 19 m, find the
distance of the foot of the ladder from the wall.
A. 9 m B. 9.5 m
C.
10.5 m D. 12 m
10. From a point P on a level ground, the
angle of elevation of the top tower is 30°. If the tower is 100 m high, the
distance of point P from the foot of the tower is:
A. 149 m
B. 156 m
C. 173
m D.
200 m
