A straight line to the top of a structure is 2500 units long and makes an angle of 12 degrees with the horizon. Find the height of the structure.

The sight line forms a hypotenuse to a right triangle.

The angle of the line of sight is 12

Therefore, using a right triangle formula for the height of the structure, we get:

Height of the Right Triangle Leg = Hypotenuse * sin(Base Angle)

Height of the Right Triangle Leg = 2500 * sin(12)

Height of the Right Triangle Leg = 2500 * (0.20791169058367)

Height of the Right Triangle Leg = **519.77922645917**

### What is the Answer?

Height of the Right Triangle Leg = **519.77922645917**

### How does the Angle of Elevation Calculator work?

Solves angle of elevation word problems

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### What 1 formula is used for the Angle of Elevation Calculator?

- Height of the Right Triangle Leg = Hypotenuse * sin(Base Angle)

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### What 7 concepts are covered in the Angle of Elevation Calculator?

- angle
- the figure formed by two rays, called the sides of the angle, sharing a common endpoint, called the vertex of the angle.
- angle of elevation
- an angle that is formed between the horizontal line and the line of sight.
- cos
- cos(θ) is the ratio of the adjacent side of angle θ to the hypotenuse
- elevation
- height above a given level, especially sea level
- hypotenuse
- the longest side of a right triangle, opposite the right angle.
- right triangle
- triangle in which one angle is a right angle
- sin
- sin(θ) is the ratio of the opposite side of angle θ to the hypotenuse

### Example calculations for the Angle of Elevation Calculator

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