Which equation is correct?

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

sin g° = z ÷ x
sin g° = x ÷ z
tan g° = z ÷ x
tan g° = x ÷ z

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

answer: the angel abc is 30°,and the abc is a triangle where the angel bac is 90°

so ac is the half of 24=12ft,and from the pythagorean theorem we find ba

ba=√bc^2-ac^2=√576-144=√432=12√3ft

so bac is 12+12√3=12(1+√3)ft