Question

Right triangle XYZ has a right angle at vertex Y and a hypotenuse that measures 24 cm. Angle ZXY measures 70o.

Answer 1

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,

$\cos\theta=\dfrac{B}{H}\\\\\cos(70)=\dfrac{XY}{24}\\\\XY=\cos(70)\times 24\\\\XY=8.2\ cm$

So, the length of the line segment XY is 8.2 cm. Hence, the correct option is (a) "8.2 cm".