# In the late afternoon, a 3.5-ft child casts a 60 in shadow. The child is next to a telephone pole that casts a 50-ft shadow, forming similar triangles. How tall is the telephone pole?

${H}_{C} / {H}_{P} = {S}_{C} / {S}_{P} \Rightarrow \frac{\left(3.5\right) '}{H} _ P = \frac{\left(\frac{60}{12}\right) '}{50 '} = \frac{1}{10}$
$\therefore \text{Height of Pole=} {H}_{P} = 35 '$.