Everything Maths Grade 10

4.Calculatexandyin the following diagram.

y

kj-j

x

9d◦ j3◦

A B

C

D

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1a.2FQV 1b.2FQW 1c.2FQX 1d.2FQY 1e.2FQZ 1f.2FR2 1g.2FR3

1h.2FR4 1i.2FR5 1j.2FR6 2.2FR7 3.2FR8 4.2FR9

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Finding an angle EMA3W

If the length of two sides of a triangle are known, the angles can be calculated using trigonometric ratios. In
this section, we are finding angles inside right-angled triangles using the ratios of the sides.

Worked example 7: Finding angles

QUESTION

Find the value ofin the following right-angled triangle using the appropriate trigonometric ratio.



50

100

SOLUTION

Step 1: Identify the opposite and adjacent sides with reference to the given angle and the hypotenuse

In this case you have the opposite side and the adjacent side for angle.

tan=

opposite

adjacent

tan=

50

100

126 5.7. Solving trigonometric equations