How to Calculate Distance Angle

The sines and cosines of an angle are integral to
••• BananaStock/BananaStock/Getty Images

The angle of elevation is the angle between an imaginary horizontal line and a person's line of sight focused on an object above that horizontal. A line can be drawn from the object to the horizontal, creating a 90-degree angle. The person, the object and the intersection of the object's line and the horizontal create the three points of a right triangle. Using the angle of elevation and the height of the object from the horizontal, you can find the distance between the person and the object.

    Calculate the tangent of the angle to find the horizontal distance between objects. Let's say the measurement of the angle is 60 degrees. The tangent of 60 degrees is √3 or 1.732.

    Divide the height of the object by the tangent of the angle. For this example, let's say the height of the object in question is 150 feet. 150 divided by 1.732 is 86.603. The horizontal distance from the object is 86.603 feet.

    Calculate the sine of the angle to find the total distance between objects, or the hypotenuse. For the example, the sine of 60 degrees is √3/2 or 0.866.

    Divide the height of the object by the sine of the angle. For the example, dividing 150 by 0.866 results in 173.205. The total distance between the objects is 173.205 feet.

Related Articles

How to Use Trig to Calculate the Height of Things
What are Angles of Elevation And Depression?
Difference Between Velocity Time Graph & Position Time...
How to Calculate Volume From Centimeters
How to Find a Cubic Foot
How to Calculate Thickness With Area & Volume
How to Calculate Pendulum Force
How to Calculate FPM
How to Calculate the Velocity of an Object Dropped...
How to Calculate Contact Force
How to Calculate the Item Total & Correlation Coefficients
How to Calculate Kinetic Energy
How to Calculate Height From Volume
How to Calculate a 3D Perimeter
How to Calculate Height
How to Calculate a Change in Momentum
How to Calculate Overturning Moment
How to Measure Elevation
How to Calculate the Change in Internal Energy

Dont Go!

We Have More Great Sciencing Articles!