Write the ratio in simplest form for area of pool/ area of yard

Option (C)

Step-by-step explanation:

From the map attached,

Area of the rectangular yard = length × width

Length of the yard = 10 units

Width of the yard = 8 units

Area = 10 × 8

        = 80 square yards

Since, pool is a composite figure of two rectangles,

Therefore, area of the pool = Area of large segment + Area of the small pool

= (5 × 6) + (3 × 3)

= 30 + 9

= 39 square units

Ratio of Area of the pool and area of yard =

Therefore, Option (C) will be the answer.  

(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