Question

PLEASE HELP ME IF POSSIBLE :)

Answer 1

Answer:

The scale drawing is correct for the length;

$\overline{BC} = 5\dfrac{34}{35} \ in.$

Step-by-step explanation:

The diagram shows the rectangular cross-section of a roof truss

The given dimension of the side $\overline{AB}$ of the roof truss scale drawing = 9.5 in.

The actual length of the side $\overline{AB}$ on the roof truss = 38 feet

The actual length of the side $\overline{BC}$ 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 = $5\frac{34}{35}$ inches on the drawing

The length of $\overline{BC}$ on the scale drawing =  $5\frac{34}{35}$ inches.