Construction workers are installing a rectangular, in-ground pool. To start, they dig a rectangular hole in the ground where the pool will be. The area of the ground that they will be digging up is 276 square feet. The length of the pool is twice the width of the pool. What are the dimensions of the pool? Round to the nearest tenth.

Width = 11.7 feet (To 1 decimal place)

Length = 23.5 feet (To 1 decimal place)

Step-by-step explanation:

w = Width

2w= Length

Area of rectangle = length * width

2w * w = 276

(Simplify expression)

2w² = 276

(Divide both sides by 2)

w² = 138

(Square root both sides to isolate w)

w = √138

w = 11.7473401245

w = 11.7 feet ( 1 decimal place)

2 ×11.7473401245 = 23.4946802489

Length = 23.5 feet (To 1 decimal place)

c is the final : )

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)