Answer:
20 ft
Step-by-step explanation:
Since we assume the triangles are similar, therefore, the ratio of their corresponding sides will be the same.
Height of the bigger triangle corresponds to height of the person
Distance of the person from street light + shadow of the person corresponds to the length of the shadow of the person
Therefore, the ratio of the corresponding sides of the triangles would be:
Height of bigger triangle : height of the person = Distance of the person from street light + shadow of the person : length of the shadow of the person
Thus:
h : 6 = 28 + 12 : 12
h : 6 = 40 : 12
h/6 = 40/12
Cross multiply
12h = 40*6
12h = 240
Divide both sides by 12
12h/12 = 240/12
h = 20
Height of the street light = 20 ft
