Question

You have a long piece of 8-inch-wide metal that you plan to make into a gutter by bending up 3 inches on each side (see below). The first two steps are about always labeling your picture a) Please label the angle(s) below with a variable. (They're the same) [1 pt] Now label the sides of the blue triangle below in terms of the variable you used in part (a). You'll need to use trigonometry to do this. Of course, show your work. There's at least a little work to show. b) [2 pts] 3 2 Determine the shaded area below in terms of the variable you used in part (a). Thus your area should c) only have one variable in the formula. Finding the area of the triangle in part (b) helps you do this. [2 pts]

Answer 1

2. a 2 fomtrignemetry Adjuent ide b Cose = hgpotenuo b 3Cos e opponte side hypo tenuo Sine 3 as 3 sine shaded ugfon. (A) he CUiea trapizoiCh+h) ) Area A- ohes h hab, - 2 at2 2bCta -Cbtb)2+2a) A = 6coso C+38no) C+3sine) ax 3 case A