Question

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

Answer 1

Answer:

x = 9.4 (nearest tenth)

Step-by-step explanation:

Sine Trigonometric ratio

$\sf \sin(\theta)=\dfrac{O}{H}$

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:

$\sf \sin(\theta)=\dfrac{O}{H}$

$\implies \sf \sin(28^{\circ})=\dfrac{x}{20}$

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

$\implies \sf x=9.389431256...$

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

Answer 2

$\\ \rm\Rrightarrow sin\theta=\dfrac{Perpendicular}{Hypotenuse}$

$\\ \rm\Rrightarrow sin28=\dfrac{x}{20}$

Find value

$\\ \rm\Rrightarrow x=20sin28$

$\\ \rm\Rrightarrow x=9.38=9.4$