Question

Math solve and explain question

Answer 1

First of all we must know The Law of Sines.

The law of sines says that in any triangle the measure of the length of the sides is directly proportional to the measure of the sines of the angles opposite those sides.

Knowing this law, we can apply it to the problem:

`⇝ (21)/( \sin(95°) ) \: = \: (p)/( \sin(32°) )`

`⇝ \: 21 \sin(32°) \: = \: \sin(95°) \: * \: p`

`⇝ \: \sin(95°) \: * \: p \: = \: 21 \sin(32°)`

`⇝ \: p \: = \: (21 \sin(32°) )/( \sin(95°) )`

`⇝ \: p \: = \boxed{ \: 11.2 \: \text{ u}}`

ANSWER:

The
side measures
`11.2 \: \text{units}`.