Question

A 6-foot person standing 15 feet from a streetlight casts a 10-foot shadow. Two similar triangles are formed. One triangle is formed by the person and the shadow that the person casts. A second triangle is formed by the streetlight and the ground from the base of the streetlight to the end of the shadow. Please help

The street light is_____times taller than the person.

Answer 1

Answer:Batman

Explanation:

Answer 2

The height of the streetlight is 6 times taller than the person.

Triangle 1: Person (6 ft) - Shadow (10 ft) - Ground (distance from person to shadow = 15 ft)

Triangle 2: Streetlight - Ground (distance from streetlight to shadow = ? ft) - Ground (same ground as in Triangle 1)

Set up the proportion:

Proportion = Height of person / Height of streetlight = Length of person's shadow / Length of streetlight's shadow

6/10 = h/10

cross multiply the values

h = 6 feet