14 ft 3 ft 6 ft O 87 1313 252ft 0 262 52.31
1 answer:
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Answer:
The scale factor was used in the dilation is 3
Step-by-step explanation:
Dilation is a kind of transformation that changes the size of figures
Image of a figure by dilation and the figure are similar
If a triangle dilated by a scale factor k then its image is similar to it, and the constant ratio between their corresponding sides is equal to k
∵ Δ ABC is dilated to form Δ DEF
∴ Δs ABC and DEF are similar
- That mean their corresponding sides have constant ratio
equal the scale factor of dilation
∴
Size of Δ DEF is greater than size of Δ ABC, that means k > 1
∵ AC = 2 units
∵ DF = 6 units
∵
∴
∴ 3 = k
∵ The scale factor of dilation is equal to the constant ratio k
∵ k = 3
∴ The scale factor was used in the dilation is 3
- When you want to multiply 2 fractions, merge the fractions together & then multiply the numerator first & then the denominator. After that, simplify to the lowest form if possible.
We will use the Pythagorean theorem to determine the height:
Finally: 
Answer Ladder will reach the height of 14.59 feet ( to the nearest hundredths).
Answer Ladder will reach the height of 14.59 feet ( to the nearest hundredths).