Question

X = A 21.6 B 12.9 C 9.1

Answer 1

Hi there! Use the equation below.

`\large{sin57 \degree = (10.8)/(x) }`

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.

`\large{0.838 = (10.8)/(x) }`

Solve the equation for x-term.

`\large{0.838(x) = (10.8)/(x) (x)} \\ \large{0.838x = 10.8} \\ \large{x = (10.8)/(0.838) } \\ \large{x = 12.88}`

Then round up to the nearest tenth. Hence, the value of x is 12.9

Answer

• x ≈ 12.9