Answer:
The missing x = 0.675 m
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
∴
=
→ By using cross multiplication
∴ x × 8.0 = 1.8 × 3.0
∴ 8x = 5.4
→ Divide both sides by 8
∵
=
∴ x = 0.675
→ No rounding because there is no digit after the thousandth digit
∴ x = 0.675 m