Answer:
sin g° = x ÷ z
Step-by-step explanation:
Given a right angled triangle with the following dimension
Triangle ACB, angle C is a right angle, angle B measures g degrees, angle A measures h degrees, segment AC measures x, segment CB measures y, and segment AB measures z.
Find the diagram in the attachment.
Using the SOH, CAH, TOA identity
When considering angle g°, the opposite side of the triangle will be the side facing the angle g° i.e x
Hypotenuse is the longest side |AB| = z
according to SOH,
Sin g° = Opposite/Hypotenuse
Sin g° = |AC|/|AB|
Sin g° = x/z
Therefore sin g° = x ÷ z is correct
