Answer:
XY=8.2 cm
Step-by-step explanation:
The attached figure shows a triangle XYZ. It is right angle at vertex Y and XZ = 24 cm. Also, angle ZXY = 70°
We need to find the length of line segment XY. It can be calculated using Trigonometry. So,
[tex]\cos\theta=\dfrac{B}{H}\\\\\cos(70)=\dfrac{XY}{24}\\\\XY=\cos(70)\times 24\\\\XY=8.2\ cm[/tex]
So, the length of the line segment XY is 8.2 cm. Hence, the correct option is (a) "8.2 cm".
