Answer:
The length of n is 40 ⇒ C
Step-by-step explanation:
The corresponding sides of the similar triangles are proportional, means have equal ratios
In the given figure
∵ The original triangle and its projection are similar
∴ Their corresponding sides have equal ratios
∴ [tex]\frac{15}{30}[/tex] = [tex]\frac{20}{n}[/tex]
→ By using the cross multiplication
∵ 15 × n = 30 × 20
∴ 15n = 600
→ Divide both sides by 15
∵ [tex]\frac{15n}{15}[/tex] = [tex]\frac{600}{15}[/tex]
∴ n = 40
∴ The length of n is 40
