Based on right-angled triangle XYZ, the size of angle XYZ to 1 decimal place is 72.9°.
In order to determine the size of angle XYZ, we would apply the tangent trigonometric function because the required and given side lengths represent the adjacent side and opposite side of a right-angled triangle respectively.
tan(θ) = Opp/Adj
Where:
- Adj represents the adjacent side of a right-angled triangle.
- Opp represents the opposite side of a right-angled triangle.
- θ represents the angle.
Based on right-angled triangle XYZ, we have the following equation for angle XYZ:
tan(XYZ) = XZ/XY
tan(XYZ) = 13/4
XYZ =

XYZ = 72.9°
Complete Question:
Find the size of angle XYZ.
Give your answer to 1 decimal place.