A scale drawing for the floor of a rectangular office shows the floor to be 33 feet long and 24 feet wide. The business wants to increase the length of the floor by 30%. The builder recreates the scale drawing to show this change. If the scale drawing shows that 1 centimeter=6 feet, then what is the length of the floor on the new scale drawing?

A. 1.65 cm
B. 4.90 cm
C. 7.15 cm
D. 10.50 cm

The new length will be  7.15 cm. Option C.

Step-by-step explanation:

Given,

The length of the floor is 33 feet.

The length of the floor should be increased by 30%.

Also, 1 cm = 6 ft

To find the scale of this change.

Now,

The length will be increased by = 30×33% ft

= 30× = 9.9 ft

Again,

6 ft = 1 cm        

1 ft =

9.9 ft = cm = 1.65 cm

And

33 ft = cm = 5.5 cm

Hence,

The new length will be = 5.5+1.65 cm = 7.15 cm

(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

it's d

step-by-step explanation: