Answer:
33 feet
22 feet
Step-by-step explanation:
Let the longer piece be x
Therefore the shorter piece is (2/3)x
x + (2/3)x = 55 Combine the left 2 terms.
(3/3)x + (2/3)x = 55 Add
(5/3)x = 55 Multiply both sides by (3/5)
(3/5) * (5/3)x = (3/5)*55
x = 33
The larger piece is 33 feet
The smaller piece is (2/3) * 33 = 22 feet
Y = 59.0°
Using the cosine rule in terms of x, y and z
cosY =
with x = 22, y = 20 and z = 18
=
= , thus
Y = ( ) ≈ 59.0° ( to the nearest tenth )
1 13=29/16
12 1/8=97/8
(97/8) / (29/16)=194/29
AAS