Trigonometry and Measuring Heights

The video tutorial explains how to use trigonometry to measure the height of a tall object, such as a tree. It involves walking a known distance from the tree, using a clinometer to measure the angle of elevation, and calculating the tangent of the angle to determine the height of the tree. The final step includes adding the observer's height to the calculated height to get the total height of the tree.

What is the first step in using trigonometry to measure the height of a tall object?

• Add your height to the calculated height

• Calculate the tangent of the angle

• Walk a known distance from the base

• Measure the angle of elevation

What tool is suggested to measure the angle of elevation?

• A ruler

• A measuring tape

• A clinometer made from a protractor

• A compass

What is the angle of elevation in the given example?

• 45 degrees

• 30 degrees

• 60 degrees

• 90 degrees

What is the tangent of 30 degrees?

• 0.577

• 0.866

• 1.732

• 0.5

How do you calculate the height of the tree using the tangent function?

• Add the tangent to the distance from the tree

• Divide the tangent by the distance from the tree

• Multiply the tangent by the distance from the tree

• Subtract the tangent from the distance from the tree

What final step must be taken to get the total height of the tree?

• Divide your height by the calculated height

• Multiply your height by the calculated height

• Subtract your height from the calculated height

• Add your height to the calculated height