Julia is standing 2 feet away away from a lamppost. she casts a shadow of 5 feet and the light make a 20 degree angle relative to the ground from the top of her shadow. Does the expression give you the height of the lamppost

Height of the lamp post is 2.5 ft.

Step-by-step explanation:

AB = lamp post

CD = Julia

CE = Shadow

AC = 2 ft , CE = 5 ft , ∠AEB = 20°

AE = AC+ CE = 2+ 5 = 7 ft

Considering ABE as a right triangle, we can write the tan ratio as,

tan ∠AEB = opp/adj = AB/AE

AB = AE × tan ∠AEB

    = 7 × tan 20°

  = 2.5 ft

So, height of the lamp post is 2.5 ft.

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step-by-step explanation: