1. A tower stands vertically on the ground. From a point on the ground, 20
m away from the foot of the tower, the angle of elevation of the top the
tower is 60°. What is the height of the tower? 20√3
2. The angle of elevation of a ladder against a wall is 60° and the foot of
the ladder is 9.5 m away from the wall. Find the length of the ladder.
19m
3. A ladder is placed along a wall of a house such that its upper end is
touching the top of the wall. The foot of the ladder is 2 m away from the
wall and the ladder is making an angle of 60° with the level of the
ground. Determine the height of the wall. 2√3m
4. An electric pole is 10 m high. A steel wire tied to top of the pole is affixed
at a point on the ground to keep the pole up right. If the wire makes an
angle of 45° with the horizontal through the foot of the pole, find the
length of the wire. 10√2m
5. A kite is flying at a height of 75 meters from the ground level, attached
to a string inclined at 60° to the horizontal. Find the length of the string
to the nearest meter.
6. A ladder 15 metres long reaches the top of a vertical wall. If the ladder
makes an angle of 60o with the wall, find the height of the wall. 7.5m
7. A vertical tower stands on a horizontal place and is surmounted by a
vertical flag staff. At a point on the plane 70 meters away from the
tower, an observer notices that the angles of elevation of the top and
bottom of the flag-staff are respectively 60° and 45°. Find the height of
the flag staff and that of the tower.70m & 51.24m
8. A vertically straight tree, 15 m high, is broken by the wind in such a way
that its top just touches the ground and makes an angle of 60° with the
ground. At what height from the ground did the tree break?15(2√3-√3)
9. A vertical tower stands on a horizontal plane and is surmounted by a
vertical flag staff of height 5 meters. At a point on the plane, the angles
of elevation of the bottom and the top of the flag staff are respectively
30° and 60°. Find the height of the tower. 2.5m
m away from the foot of the tower, the angle of elevation of the top the
tower is 60°. What is the height of the tower? 20√3
2. The angle of elevation of a ladder against a wall is 60° and the foot of
the ladder is 9.5 m away from the wall. Find the length of the ladder.
19m
3. A ladder is placed along a wall of a house such that its upper end is
touching the top of the wall. The foot of the ladder is 2 m away from the
wall and the ladder is making an angle of 60° with the level of the
ground. Determine the height of the wall. 2√3m
4. An electric pole is 10 m high. A steel wire tied to top of the pole is affixed
at a point on the ground to keep the pole up right. If the wire makes an
angle of 45° with the horizontal through the foot of the pole, find the
length of the wire. 10√2m
5. A kite is flying at a height of 75 meters from the ground level, attached
to a string inclined at 60° to the horizontal. Find the length of the string
to the nearest meter.
6. A ladder 15 metres long reaches the top of a vertical wall. If the ladder
makes an angle of 60o with the wall, find the height of the wall. 7.5m
7. A vertical tower stands on a horizontal place and is surmounted by a
vertical flag staff. At a point on the plane 70 meters away from the
tower, an observer notices that the angles of elevation of the top and
bottom of the flag-staff are respectively 60° and 45°. Find the height of
the flag staff and that of the tower.70m & 51.24m
8. A vertically straight tree, 15 m high, is broken by the wind in such a way
that its top just touches the ground and makes an angle of 60° with the
ground. At what height from the ground did the tree break?15(2√3-√3)
9. A vertical tower stands on a horizontal plane and is surmounted by a
vertical flag staff of height 5 meters. At a point on the plane, the angles
of elevation of the bottom and the top of the flag staff are respectively
30° and 60°. Find the height of the tower. 2.5m
