Question

Look at the diagram below. what is the length of WX?

Answer 1

hello

from the image given, we have two right angle triangle diagonally infused together. we have two equal lines that connects the two triangles

we can use trigonometric ratios and imploy sine of the angle to solve for this problem since we have the value of hypothenus and angle

`\begin{gathered} \sin \theta=(opposite)/(hypothenus) \\ \text{opposite}=wx \\ \theta=30 \\ \text{hypothenus}=30 \\ \sin 30=(wx)/(30) \\ (1)/(2)=(wx)/(30) \\ wx=(30)/(2) \\ wx=15 \end{gathered}`

from the calculation above, the value of wx is equal to 15 units