Question 86095
To find the unknown side, we can use proportions to find the missing side.



Since we have 2 similar triangles, the ratio of the sides of the triangles are the same. Since the ratio of the sides of the small triangle are the same, this ratio is true:


{{{4/6=x/(30+6)}}}


{{{4/6=x/36}}}


This basically says: "the ratio of the side with length of 4 to the side of length 6 is equal to the ratio of side x to side 36 (notice the sides of the triangles correspond to one another)


{{{36(4/6)=(x/cross(36))cross(36)}}} Multiply both sides by 36


{{{144/6=x}}} Multiply


{{{24=x}}}


So the length of the unknown side is 24, which means the lamppost is 24 feet high


So the answer is B)