A blueprint of a house has a scale of 1 in = 6 ft. the living room has dimensions (width x length) of 18 ft by 24 ft. What are the dimensions on the blueprint of the living room? (use 2 different proportions; one for width and one for length) a
w = 108 in, l = 144 in
b
w = 3 in; l = 4 in
c
w = 3 in; l = 144 in
d
w = 3 in; l = 4 in

I would say the answer is w = 3 in; l = 4 in

hope this !

step-by-step explanation:

d = distance between moon and sun, which in this problem is the hypotenuse of a right triangle.  

the distance y is the side opposite to angle x in the right triangle.   use the definition of the sine function from basic trigonometry.

sin(x) = y/d ⇒

d = y/sin(x)

(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