Answer:
In a right-angled triangle ΔABC, where \( B = 90° \), you can use the trigonometric ratios. The sine function is commonly used in this scenario.
The sine of an angle in a right-angled triangle is given by:
\[ \sin(\theta) = \frac{\text{opposite side}}{\text{hypotenuse}} \]
For angle \( C = 50° \), the side \( c = 18 \) is the opposite side, and \( b \) is the hypotenuse.
\[ \sin(50°) = \frac{c}{b} \]
Now, rearrange the formula to solve for \( b \):
\[ b = \frac{c}{\sin(50°)} \]
Substitute the values:
\[ b = \frac{18}{\sin(50°)} \]
Calculate this expression to find the length of \( b \) to the nearest hundredth.
