Question

Find the size angle XYZ
Give your answer to 1 decimal place

Answer 1

∠ XYZ ≈ 72.9°

Explanation:

using the tangent ratio in the right triangle

tan XYZ =
`(opposite)/(adjacent)` =
`(XZ)/(XY)` =
`(13)/(4)` , then

∠ XYZ =
`tan^(-1)` (
`(13)/(4)` ) ≈ 72.9° ( to 1 dec. place )