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

Question

asked Jul 11, 2022 213k views

2 Answers

Dave Transom · Answer 1 · 2022-07-16T21:56:03+0000

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