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.
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
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