Question

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

Answer 1

The answer is 45 degrees

Answer 2

Based on the given triangle, The size of angle XYZ is
`66.4^o`

How to find the size of angle XYZ

To find the size of angle XYZ in a right-angled triangle with the adjacent side XY as 6 cm and the hypotenuse YZ as 15 cm, use the cosine function:

The cosine of an angle is equal to the adjacent side divided by the hypotenuse:

`Cos \theta = 6/15\\\\\theta = cos^-1 (6/15)\\\\\theta = Cos^-1 (0.4)\\\\\\theta = 66.4^o`

Theta (θ) is approximately equal to the inverse cosine of 0.4, which is approximately
`66.4^o` when rounded to one decimal place.

Therefore, size of angle XYZ is
`66.4^o`