Question

How do i plug in a sin equation for missing side length into a calculator

Answer 1

`\\ \rm\Rrightarrow sin\theta=(Perpendicular)/(Hypotenuse)`

`\\ \rm\Rrightarrow sin28=(x)/(20)`

Find value

`\\ \rm\Rrightarrow x=20sin28`

`\\ \rm\Rrightarrow x=9.38=9.4`

Answer 2

x = 9.4 (nearest tenth)

Explanation:

Sine Trigonometric ratio

`\sf \sin(\theta)=(O)/(H)`

where:

• 
  `\theta` is the angle
• O is the side opposite the angle
• H is the hypotenuse (the side opposite the right angle)

Given:

• 
  `\theta` = 28°
• O = x
• H = 20

Substituting the given values into the formula and solving for x:

`\sf \sin(\theta)=(O)/(H)`

`\implies \sf \sin(28^(\circ))=(x)/(20)`

`\implies \sf x=20\sin(28^(\circ)) \qquad \leftarrow\textsf{ type this into your calculator}`

`\implies \sf x=9.389431256...`

`\implies \sf x=9.4\:(nearest\:tenth)`