Answer:
Total cost of making frame = $35.67
Step-by-step explanation:
Given:
Cost per linear foot = $1.25
Hypotenuse of the frame = 12 feet
Acute angle = 32°
Find:
Total cost of making frame:
Computation:
Using trigonometric ratio:
[tex]Sin \theta=\frac{perpendicular}{hypoteneus}\\\\Sin 32=\frac{perpendicular}{12}\\\\ 0.53 = \frac{perpendicular}{12}\\\\ perpendicular =6.36\\\\ Cos \theta=\frac{base}{hypoteneus}\\\\Cos 32=\frac{base}{12}\\\\ 0.848 = \frac{base}{12}\\\\ base = 10.176[/tex]
Total cost of making frame = (Total length of side)Cost per linear foot
Total cost of making frame = ( 12 + 6.36 + 10.176)$1.25
Total cost of making frame = (28.536)$1.25
Total cost of making frame = $35.67
