Question

What is the answer of a ?

Answer 1

Answer:

2.2

Step-by-step explanation:

Use the cosine law (look at the picture).

We have:

$a=a\\b=4\\c=3\\\gamma=32^o$

$a^2=4^2+3^2-2(4)(3)\cos32^o$

$\cos32^o\approx0.848$ → look at the second picture

$a^2=16+9-24(0.848)\\\\a^2=25-20.352\\\\a^2=4.648\to a=\sqrt{4.648}\\\\a\approx2.2$