SS1 Third Term Mathematics Lesson Note – Trigonometry II

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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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