Question

A triangular trellis has angles R, S, and T that measure 73°, 73°, and 34°, respectively. If the length of ST = 4y + 6 and the length of TR = 7y - 21, what is the value of y?

Answer 1

picture?

Answer 2

Theyr was no picture

Answer 3

use law of sines

Answer 4

Sine rule:
\[\frac{ST}{\sin(R)} = \frac{TR}{\sin(S)}\]
\[\frac{4y+6}{\sin(73^o)} = \frac{7Y-21}{\sin(73^o)}\]
The rest should come easily.

Answer 5

length ST=r
length RS=t
length TR=s
ST/sinR = TR/sinS
(4y + 6/sin 73 ) = (7y - 21/sin 73)
so 4y + 6 = 7y-21
so 3y =27
y=9

Answer 6

use sine rule
here
sin S / TR = sin R / ST
substitute for these and solve for y