Question

Which is correct for finding the cm of angle z? Show steps please!! Urgent!

Answer 1

`\large\boxed{b.\ \angle z=\cos^(-1)(55)/(73)}`

Explanation:

Using the Pythagorean theorem, I justify that the angle y is a right angle. What I can not see in the picture.

`48^2+55^2=73^2\\\\2304+3025=5329\\\\5329=5329`

For angle z:

`opposite=48\\adjacent=55\\hypotenuse=73`

`sine=(opposite)/(hypotenuse)\\\\cosine=(adjacent)/(hypotenuse)\\\\tangent=(opposite)/(adjacent)`

Substitute:

`\sin(\angle z)=(48)/(73)\to\angle z=\sin^(-1)(48)/(73)\\\\\cos(\angle z)=(55)/(73)\to \angle z=\cos^(-1)(55)/(73)\\\\\tan(\angle z)=(48)/(55)\to\angle z=\tan^(-1)(48)/(55)`