astraightroadtothetopofahillis2500feetlongandmakesanangleof12degreeswiththehorizontal.findtheheightofthehill



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 * (0.67)
Height of the Right Triangle Leg = 917