Julia is standing 2 feet away from a lamppost. If she casts a shadow of 5 feet and the light makes a 20° angle relative to the g
round from the top of her shadow, how tall is the lamppost?
1 answer:
Answer:
2.5477 feet
Step-by-step explanation:
Refer the image attached to understand my solution.
BC = height of lamppost.
DE = Julia
AD = shadow of Julia
BD = 2 feet. AD = 5 feet
BA = BD + AD
= 2 + 5 = 7 feet
In ΔABC
tan 20° = 
BC = 7 * tan 20°
BC = 2.5477 feet
SO the height of lamppost = 2.5477 feet
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