How tall would the lighthouse be?...

Mathematics

1 answer:

UkoKoshka [18]3 years ago

8 0

Answer:

122.6 m

Step-by-step explanation:

Shadow cast by the man = 3.1 m

Height of the man = 1.9 m

Shadow cast by the lighthouse = 200 m

Height of the lighthouse = x

If two shapes are similar, the ratio of their corresponding sides would be equal.

Therefore,

x/1.9 = 200/3.1

Multiply both sides by 1.9

x = (200*1.9)/3.1

x = 122.6 m (nearest tenth)

The lighthouse is 122.6 m tall

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