A rope is tied from the top of a flag pole to the ground. If the rope is 28 ft long and makes a 15 degree angle with the ground, how far away is where it is tied to from the base of the flag pole? Round your answer to the nearest hundredth.
To find the distance from where the rope is tied to the base of the flag pole, we can use trigonometry and the sine function.
Let x be the distance from where the rope is tied to the base of the flag pole.
sin(15 degrees) = opposite/hypotenuse
sin(15 degrees) = x/28
x = 28 * sin(15 degrees)
x = 7.21
Therefore, the distance from where the rope is tied to the base of the flag pole is approximately 7.21 feet.