Afire hydrant 2.5 feet high casts a 5 foot shadow how tall is a street light that casts a 26 ft shadow at the same time

13 feet

Using similar triangles to solve, that is the ratios of corresponding sides are equal

let the height of the street light be h, then it corresponds to the height of the fire hydrant and the shadows of both correspond to each other, hence

= ( cross- multiply )

5h = 65 ( divide both sides by 5 )

h = 13

the height of the street light is 13 feet

2 over 5

step-by-step explanation:

the 2: 3 ratio is the length of the ac segment to the cb segment total length. this implies that the ratio between segment ac length and segment ab length is 2: 5. point c is 2/5 from a to b, so the required fraction is 2/5.