l astraightroadtothetopofahillis2500feetlongandmakesanangleof12degreeswi
Enter Angle of Elevation Stmt

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