Trigonometry (II)

Mathematics SSS 1 Third Term

WEEK 6

Trigonometry (II)

Performance Objectives

Students should be able to;

1. Solve problems on the practical application of trigonometry ratios
2. Obtain sine and cosine of various angles
3. Identify the relationship between the trigonometric ratios and measured lengths

Application of Trigonometry

Content

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)

Sin60^o = x74

32 = x74

X = 74√32

∴ x = 37√3m

2. A man 1.8m tall observes…