Hey, I wonder what the height of this tree is. Let's use triginometry to solve this problem.
Here I have an object called a clinometer. By looking through the straw towards the top of the tree, I am able to find the angle from the tree to myself by looking at the string touching the protractor.
The angle is 45 degrees! This means it is a right angled triangle.
The next step is to find the distance between myself and the base of the tree.
The distance is 550 centimetres!
The next step is to measure the distance from my eyes to the ground. It is 180 centimetres.
We now have formed a triangle with sides and angles, in which can provide us with the complete height of the tree. The first step to this is finding x, with the following equation;
Then, we add the height of the distance from my eyes to the ground (180) and receive the overall height of the tree. Height of tree = 180 + 550 = 730 cm
The equation that will help us find out the height of the tree is: