Question

Find the size of angle XYZ

Give your answer to 1 decimal place
Z
X
Y
12cm
7cm

Answer 1

∠ XYZ ≈ 54.3°

Explanation:

using the cosine ratio in the right triangle

cos XYZ =
`(adjacent)/(hypotenuse)` =
`(XY)/(YZ)` =
`(7)/(12)` , then

∠ XYZ =
`cos^(-1)` (
`(7)/(12)` ) ≈ 54.3° ( to 1 decimal place )