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

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?

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

For more math formulas, check out our Formula Dossier

### 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