Help finding the height of your tree
We have 2 similar triangles. ABC and ADE. They are similar because the measure of their angles are the same. The measure of AB isn’t equal to the measure of AD. The ratio of the measure of BC/AB is equal to the ration of the measure of DE/AD. For example if the measure of AB = 4 and the measure of BC = 3 then the ratio of AB/BC = 3/4. If the measure of AD = 9 and we know that the ratio of DE/AD = 3/4 then we can find the measure of DE. Multiply both sides by AD
DE*AD/AD = ¾ * AD
AD/AD = 1 so DE*AD/AD = DE*1 = DE
DE = ¾*AD
AD = 9
DE=3/4*9=27/4 = 6 ¾
Using a yard stick and this relationship you can estimate the height of a tree.