Measuring Height of Object-Sun and Shadow-Similar Triangles
This app is used to exemplify how to indirectly calculate the height of an object out in the sun, using similar triangles principles. You may adjust the Height of the objects and the Angle of the sun, until the figure will follow according to the data you have collected: 1. Adjust the height of the object you know it's height (the red line). 2. Adjust the angle of the sun, so that the shadow of that object will be the same as you've collected. 3. Adjust the height of the object you don't know it's height (the Green line), so that it's shadow will reach that you've measured.
1. Can you prove the 2 triangles in the figure are similar? (Remember that all sun rays are parallel to each other and the ground could be considered as one line) 2. Can you find the similarity ratio between the 2 triangles? 3. Can you find The Height of the Green Line (X) ? 4. What will change if you you change the sun ray's angle? what will stay the same? 5. Can you find practical limitations as to when this sort of measurement will actually work? (For example - It will work only at daytime)