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WEEK 3
TOPIC: TRIGONOMETRY 2
CONTENTS:
(c) Application of trigonometric ratios (angle of elevation and depression; bearing). (d) Trigonometric ratios related to the unit circle. (e) Graphs of sines and cosines.
Application of trigonometric ratios (angle of elevation and depression; bearing).
Angle of elevation:
Example 1:
The angle of elevation of a point P on a tower from a point Q on the horizontal ground is 600. If /PQ/=74m, how high is P above the ground?
Solution:
The relevant sides to 600 are Opp and Hyp (SOH)
sin600 = x/74
√3/2 = x/74
x=(74√3)/2
∴x=37√3 m
Example 2:
A man 1.8m tall observes a bird on top of a tree. If the man is 21m away from the tree and his angle of sighting the bird is 300, calculate the height of the tree.
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