Question

Find the value of sinY

Answer 1

Answer:

$\frac{63}{65}$

Step-by-step 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= $\sqrt{3969}$

XZ= 63 (simplify)

sinY

= XZ/ ZY

$= \frac{63}{65}$