Question

In right angle xyz y is the rifhr angle and mx=60 if yz=4 what is xy?

Answer 1

To find the length of side XY in a right-angled triangle with YZ equaling 4 and assuming angle XYZ is 60 degrees, use the sine function to get XY ≈ 4.62 units.

Step-by-step explanation:

The student is asking how to find side XY in a right-angled triangle, where YZ equals 4 and MX equals 60, which seems like it could be a typo as it is not a standard labeling for parts of a triangle. Assuming MX is meant to represent angle MXZ or angle XYZ, and this angle is 60 degrees because Y is the right angle, you can use the sine function to calculate the length of side XY.

In triangle XYZ, using the sine function:

• sin(MXZ) = opposite/hypotenuse
• sin(60°) = YZ/XY

Therefore:

• XY = YZ / sin(60°)
• XY = 4 / (√3 / 2)
• XY = 8 / √3
• XY ≈ 4.62 (to two decimal places)

So the length of side XY is approximately 4.62 units.