A straight line to the top of a structure is 2500 units long
It makes an angle of 12 degrees with the horizon.
Find the height of the structure.
Sight Line
The sight line forms a hypotenuse to a right triangle.
The angle of the line of sight is 12
Set up a right triangle
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)
Final Answer
Height of the Right Triangle Leg = 519.77922645917
You have 2 free calculationss remaining
What is the Answer?
Height of the Right Triangle Leg = 519.77922645917
How does the Angle of Elevation Calculator work?
Free Angle of Elevation Calculator - Solves angle of elevation word problems
This calculator has 1 input.
This calculator has 1 input.
What 1 formula is used for the Angle of Elevation Calculator?
Height of the Right Triangle Leg = Hypotenuse * sin(Base Angle)
For more math formulas, check out our Formula Dossier
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
Example calculations for the Angle of Elevation Calculator
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