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 need to find the horizontal component of the rope.
We can use the equation:
Horizontal component = Hypotenuse * cos(angle)
In this case, the hypotenuse is 28 ft and the angle is 15 degrees.
Horizontal component = 28 ft * cos(15 degrees)
Using a calculator, we find:
Horizontal component ≈ 26.80 ft
Therefore, the distance from where the rope is tied to the base of the flag pole is approximately 26.80 ft.