The lengths of the diagonals of a parallelo-
gram are 9.9 feet and 14 feet and they inter-
sect at an angle of 39◦.
To solve this problem, we can use the formula for the diagonals of a parallelogram:
Diagonal 1 = 2a sin(θ)
Diagonal 2 = 2b sin(θ)
Where a and b are the lengths of the sides of the parallelogram and θ is the angle between the diagonals.
In this case, the diagonals are given as 9.9 feet and 14 feet, and the angle between them is 39 degrees.
We can rearrange the formulas to solve for a and b:
a = Diagonal 1 / (2 * sin(θ))
b = Diagonal 2 / (2 * sin(θ))
Let's substitute the given values into the formulas:
a = 9.9 / (2 * sin(39))
b = 14 / (2 * sin(39))
Now, we can calculate the values of a and b using a scientific calculator or an online calculator.