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A person 5 feet 3 inches tall casts a 6-foot shadow. At the same time of day, a lamppost cast an 18-foot shadow. what is the height lamppost?

A. 15.75 ft.
B. 15.9 ft.
C. 31.5 ft.
D. 1.5 ft.

A person 5 feet 3 inches tall casts a 6foot shadow At the same time of day a lamppost cast an 18foot shadow what is the height lamppost A 1575 ft B 159 ft C 315 class=

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I am 100% percent sure it is a

Answer:

Height of the lamppost is:

A. 15.75 ft.

Step-by-step explanation:

By AAA congruence the two triangles i.e. one showing man and his shadow and the other showing lamp post and its shadow are congruent.

Hence, [tex]\dfrac{5.25}{6}=\dfrac{x}{18}[/tex]

Hence, [tex]x=\dfrac{5.25}{6}\times 18[/tex]

x=5.25×3

x=15.75 ft

Hence, height of the lamppost is:

A. 15.75 ft.

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