A fire hydrant 2.5 feet high casts a 5 foot shadow. How tall is a street light that casts a 26 foot shadow at the same time?

Here we know the following data:

So we want to know the height of the street light. Below you have the representation of this problem. We can solve this using proportions because triangles ABC and DEF are similar, so:

Finally, the height of the street light is 13 ft

e) none of the above because the measure of angle cba is 101°