# How can you use proportions and similar triangles to indirectly measure large objects, such as heights of buildings and mountains?

##### 1 Answer

Form a virtual triangle using the object's height and its shadow's length as bases.

Form another virtual triangle using another object (a much smaller, measurable object. A tree, a pole, or a person for example) and its shadow. The other object should be in the same vicinity as the object being measured so that the shadows would form the same angles.

You now have your similar triangles.

Similar triangles have proportional dimensions.

This means we can equate the ratios of the bases.

Let

Let

Get the length/height of

Then, for