Question

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

What is the length of line segment XY? Round to the nearest tenth.

8.2 cm
8.7 cm
22.6 m
25.5 cm

Answer 1

a

Explanation:

Answer 2

XY=8.2 cm

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=(B)/(H)\\\\\cos(70)=(XY)/(24)\\\\XY=\cos(70)* 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".