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4 years ago

How to I find a? It’s round to the nearest tenth.

Mathematics

1 answer:

Irina18 [472]4 years ago

7 0

Answer:

a ≈ 21.8

Step-by-step explanation:

We require the third angle in the triangle

Subtract the sum of the 2 angles from 180

third angle = 180° - (75 + 31.8)° = 180° - 106.8° = 73.2°

Using the Sine rule, that is

$\frac{a}{sin73.2}$ = $\frac{22}{sin75}$ ( cross- multiply )

a × sin75° = 22 × sin73.2° ( divide both sides by sin75° )

a = $\frac{22sin73.2}{sin75}$ ≈ 21.8 ( to the nearest tenth )

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