Answer:
The scale drawing is correct for the length;
[tex]\overline{BC} = 5\dfrac{34}{35} \ in.[/tex]
Step-by-step explanation:
The diagram shows the rectangular cross-section of a roof truss
The given dimension of the side [tex]\overline{AB}[/tex] of the roof truss scale drawing = 9.5 in.
The actual length of the side [tex]\overline{AB}[/tex] on the roof truss = 38 feet
The actual length of the side [tex]\overline{BC}[/tex] on the roof truss = 22 feet
Therefore, the scale of the scale drawing is given as follows;
The scale of the drawing = (Scale dimension)/(Actual dimension)
38 feet = 9.5 inches on the drawing
∴ 1 foot = 9.5 inches/35 = 19/70 inches on the drawing
1 foot = 19/70 inches on the drawing
22 feet = (19/70 inches × 22) on the drawing = [tex]5\frac{34}{35}[/tex] inches on the drawing
The length of [tex]\overline{BC}[/tex] on the scale drawing = [tex]5\frac{34}{35}[/tex] inches.
