Answer:
X is 22.5°
Step-by-step explanation:
» Let's assume our diagram is as above, from trigonometric ratio:
[tex]{ \tt{ \red{ \sin( \theta) = \frac{opposite}{hypotenuse} }}} \\ [/tex]
- theta is X
- opposite is a
- hypotenuse is c
[tex]{ \tt{ \sin(x) = \frac{a}{c} }} \\ \\ { \tt{ \sin(x) = \frac{5.7}{14.9} }} \\ \\ { \tt{ \sin(x) = 0.3826}} \\ \\ { \tt{x = { \sin }^{ - 1}(0.3826) }} \\ \\ { \boxed{ \tt{x = 22.5 \degree}}}[/tex]
