Question

a wooden frame is to be made using wood that costs $1.25 per linear foot. the frame is in the shape of a right triangle whose hypotenuse is 12 feet and which contains an acute angle of 32 degrees . determine the overall cost of making this frame

Answer 1

Total cost of making frame = $35.67

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:

`Sin \theta=(perpendicular)/(hypoteneus)\\\\Sin 32=(perpendicular)/(12)\\\\ 0.53 = (perpendicular)/(12)\\\\ perpendicular =6.36\\\\ Cos \theta=(base)/(hypoteneus)\\\\Cos 32=(base)/(12)\\\\ 0.848 = (base)/(12)\\\\ base = 10.176`

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