Question

Using the law of cosines, a=_ rounded to the nearest tenth.

Answer 1

A^2 = 4.0^2 + 3.7^3 - 2*4*3.7 cos 334

= 4.865

a =  2.2  to nearest tenth.

Answer 2

Answer:

a is 2.21 units, approximately.

Step-by-step explanation:

If we applied the law of cosines, we would have

$a^{2}=b^{2}+c^{2}-2bc.cosA$

Where:

$b=4.0\\c=3.4\\m\angle A=33\°$

Replacing all these values in the law, we have

$a^{2}=(4)^{2}+(3.7)^{2}-2(4)(3.7)cos33\°\\a^{2}=16+13.69-24.82\\a^{2}=4.87\\a=\sqrt{4.87}\approx 2.21$

Therefore, a is 2.21 units, approximately.