Answer:
The missing x = 0.675 m
Step-by-step explanation:
In similar triangles, the corresponding sides are proportion (means their ratios are equal)
In the given figure
∵ The two triangles are similar
∴ Their corresponding sides are proportion
∵ The sides of lengths 1.8 m and x are corresponding sides
∵ The sides of lengths 8.0 m and 3.0 are corresponding sides
∴ [tex]\frac{1.8}{x}[/tex] = [tex]\frac{8.0}{3.0}[/tex]
→ By using cross multiplication
∴ x × 8.0 = 1.8 × 3.0
∴ 8x = 5.4
→ Divide both sides by 8
∵ [tex]\frac{8x}{8}[/tex] = [tex]\frac{5.4}{8}[/tex]
∴ x = 0.675
→ No rounding because there is no digit after the thousandth digit
∴ x = 0.675 m
