Ella is standing on the ground looking up toward the top of a tower. Her eye level is 5.5 feet above the ground and her sightline form a 21 degree angle while looking at the top of the tower. The direct distance from her eyes to the top of tower is 46 feet
To find the height of the tower, we can use the tangent function.
Let h be the height of the tower.
According to the given information, Ella's eye level is 5.5 feet above the ground, forming a 21 degree angle with her sightline. The sightline is the line segment connecting Ella's eyes with the top of the tower.
We can set up the following equation:
tan(21°) = h / 46
Using a calculator, we find that tan(21°) ≈ 0.382.
0.382 = h / 46
To find h, we can rearrange the equation:
h = 0.382 * 46
h ≈ 17.612
Therefore, the height of the tower is approximately 17.612 feet.