Given:
Required:
length of the shadow of the statue, x = ?
Solution:
Notice that we form two triangles
Since there is not much information about the relative position of the sun ( which cast the shadow on these two objects) or the angles of depression/elevation, we will have to assume that the two are similar triangles ( due to the absence of data).
If these triangles are similar triangles, then their corresponding sides are proportional. We can write the proportion as follow:
[tex]\frac{x}{12}=\frac{2}{8}[/tex]
Solving for x,
[tex]x=12\cdot\frac{2}{8}=\frac{24}{8}=3[/tex]
Answer. The length of the statue's shadow is 3 ft.
