Hi there! Use the equation below.
[tex] \large{sin57 \degree = \frac{10.8}{x} }[/tex]
The reason why we use this equation because we know that sinA = opposite/hypotenuse. Here we focus on 57°. Our opposite would be 10.8 and hypotenuse is x. Hence sin57° = 10.8/x
You might need a calculator or a trigonometric table to find the value of sin57°. Note that not all values are exact. They are approximate.
Therefore, sin57° ≈ 0.838.
Rewrite the equation.
[tex] \large{0.838 = \frac{10.8}{x} }[/tex]
Solve the equation for x-term.
[tex] \large{0.838(x) = \frac{10.8}{x} (x)} \\ \large{0.838x = 10.8} \\ \large{x = \frac{10.8}{0.838} } \\ \large{x = 12.88}[/tex]
Then round up to the nearest tenth. Hence, the value of x is 12.9
Answer
