An N-scale model railroad caboose is 3 inches long. N scale is 169 feet to 1 foot. Let c represent the length of a real caboose. Write a proportion, in terms of c, that can be used to solve for the length of a real caboose. (Hint: Compare feet to inches. How many inches are in one foot?)

How long (in feet) is a real caboose?

ft

9514 1404 393

Step-by-step explanation:

Since we want to know the actual number of feet, we can write the proportion with that in the numerator.

The real caboose is 42 1/4 feet long.

(sin 42)/31. = sinx)/37

sinx = 37 (sin42)/31

= 37× 0.66/31 = 0.787

x= 51.9

other angle opposite to y = 180-51.9-42

= 180- 93.9 =86.1

so

sin42)/31 = sin 86.1)/y

0.021 = 0.997 /y

y= 0.997/0.021 =47.47