Page 196 - Mathematics_Form_Two

Trigonometry
from the top of the cliff are 45° and
30°. Find the actual distance of the
boat which is furthest from the top
of the cliff.
7. The angle of elevation of the top of
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a building 24 m high is observed
Mathematics for Secondary Schools 8. From point P on the level ground,
from the top and from the bottom
of a vertical ladder, and found to be
45° and 60°, respectively. Find the
height of the ladder.
the angle of elevation of the top of
a flag post is 60°. If the height of the
flag post is 39 m, how far from the
base is point P?
9. From a balcony of a building
10 m high, Mwaka observes a person
moving away from the base of the
building at an angle of depression
°
5 42 . ′ After 5 minutes, the angle of
depression was 2 20 . ′ Calculate the
°
speed of the man in m/min.
10. From the top of a building 20 m high,
a man watches people walking along
the street. If the angle of depression
of the foot of a passer-by is 50 ,° how
far is the passer-by from the foot of
the building?
11. The angle of elevation of the top of
a tower from a point on the ground
70 m from the foot of the tower is
60 .° Calculate the height of the tower.
12. Sarah is looking at a stone on the
ground from an upstairs window.
The level of Sarah’s eyes above
the ground is 5.2 m. The stone is
190
MATHEMATIC F2 v5.indd 190
MATHEMATIC F2 v5.indd 190
2.5 m horizontally from the wall of
the house. Calculate the angle of
depression of the stone from Sarah's
eyes.
13. Musa stood at the top of a vertical
cliff 60 m high and observed a boat
14. A crime investigation officer
at sea level at an angle of depression
of 40 .° Calculate the distance of
the boat from the base of the cliff.
discovered a bullet embedded in the
found that the bullet had entered the
wall 3 m above the floor. It was also
wall at an angle 13 25'° . How far
from the wall was the bullet fired if
the gun was held 1.5 m above the
floor?
15. Masanja is building a wooden ramp
to allow people who use wheelchairs
easier access to the public library.
The ramp must be 3 metres tall. Find
the angle of elevation if the ramp
begins 30 m away from the library.
16. At a point 182 m from the foot of a
tower on a level road, the angle of
elevation of the top of the tower is
36º44′. Find the height of the tower.
17. From the top of a cliff 35 m high, the
angles of depression of two boats
lying in a line due east of the cliff
are 27° and 23°. Find the distance
between the boats.
18. The angle of depression of a boat
from a cliff 25 m high is 12º . Find
the distance of the boat from the
bottom of the cliff.
Student's Book Form Two
11/10/2024 20:14:19
11/10/2024 20:14:19