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
108.18 ft
108.18 ft
28.98 ft
28.98 ft
7.25 ft
7.25 ft
27.05 ft
The distance from where the rope is tied to the base of the flag pole can be calculated using trigonometry. Since we have the length of the hypotenuse (28 ft) and the angle opposite to the unknown side (15 degrees), we can use the sine function.
Let's call the distance we are trying to find x.
sin(15 degrees) = x / 28 ft
Using a calculator, sin(15 degrees) is approximately 0.2588190451.
0.2588190451 = x / 28 ft
To solve for x, we can multiply both sides of the equation by 28 ft.
0.2588190451 * 28 ft = x
The result is approximately 7.25 ft.
Therefore, the correct answer is 7.25 ft.