To find the angle of elevation from Mia's eyes to the top of the water tower, we can use trigonometry. Using the tangent function, we can calculate the angle using the height of the tower and the distance from Mia to the tower. The angle is approximately 16.3°.
To find the angle of elevation from Mia's eyes to the top of the water tower, we can use trigonometry.
Tangent is the ratio of the opposite side (the height of the tower) to the adjacent side (the distance from Mia to the tower).
Let's calculate the tangent of the angle of elevation using the given values:
Tan(angle) = height / distance
Tan(angle) = 10 m / 35 m
Tan(angle) ≈ 0.2857
To find the angle, we can use the inverse tangent function, also known as arctan. This gives us:
Angle ≈ arctan(0.2857)
Using a calculator, we find that the angle is approximately 16.3°.