Question

Find the value of sinY

Answer 1

63/65

Explanation:

Answer 2

`(63)/(65)`

Explanation:

Please see the attached picture.

Let's find the value of the opposite side, XZ.

Applying Pythagoras' Theorem,

(XZ)² +(XY)²= (ZY)²

(XZ)² +16²= 65²

(XZ)²= 4225 -256 (bring constant to 1 side)

(XZ)²= 3969 (simplify)

Square root both sides,

XZ=
`√(3969)`

XZ= 63 (simplify)

sinY

= XZ/ ZY

`= (63)/(65)`