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 t
o the ground from the top of her shadow. Does the expression give you the height of the lamppost
1 answer:
Height of the lamp post is 2.5 ft.
<u>Step-by-step explanation:</u>
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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