Page 198 - Mathematics_Form_Two

Trigonometry

5. When the angle of elevation of the (b)
sun is 30°, the shadow of a post is
6 m longer than when it is 60°. Find
the height of a post.

6. The angle of elevation of the top of
a church tower from a point due East (c)
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and 96 m away from its base is 30°.
Mathematics for Secondary Schools church tower the angle of elevation
From another point due West of the

of the top is 60°. Find the distance
of the later point from the base of
the church tower.
7. A point A is 289 m from point C on
a bearing N32°W, point B is 450 m
from point C on a bearing N58°E. (d)
Find the distance from A to B.
8. When the angle of elevation of the
sun is 55°, a tower casts a shadow 20
m long. Find the height of the tower.
9. A kite is flying directly over a
straight path 100 m long. The angle (e)
of elevation of the kite from one
end of the path is 35°, if the angle of
elevation of the kite from the other
end of the path is 55°, how high is
the kite?
10. A boy finds that the angle of elevation
of the top of a tree from a point on 12. An observer is at a point A on
the ground is 25°. He walks in a the bank of a river. The foot of a
straight line 30 m closer to the foot
of the tree. The angle of elevation of coconut tree is at point P directly
the top is now 50°. How high is the on the opposite bank. A distance
tree? AB of 27 m is measured along the
ˆ
bank so that BAP is a right angle
11. Find the values of the letters in each and ABP = 42 ,° as shown in the
ˆ
of the following figures. following figure.
(a)

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Student's Book Form Two

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