At a certain time of day 1.8m tall person standing next to the Washington monument cast a 0.7m shadow at the same time the Washi
ngton monument cast a 65.8m shadow how tall is Washington monument
Please help♀️
Please help♀️
1 answer:
Answer:
169 m
Step-by-step explanation:
See the image below.
Line AB represents the monument and line BC its shadow
Line DB represents the man and Line BE it shadow.
The Sun’s rays are parallel, so AC||DE.
Then ∆ABC ~ ∆DBE
AB:BC::DB:BE
x/65.8 = 1.8/0.7 Multiply both sides by 65.8
x = 65.6 × 1.8/0.7
x = 65.6 × 2.571
x = 169 m
The height of the Washington monument is 169 m.
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hence, the volume of the cone is
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