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Anni [7]
3 years ago
9

A lamp post with a height of 12 ft casts a shadow of 6 ft. A fire hydrant near it casts a shadow that is 1.5 ft long. How tall i

s the fire hydrant?
Mathematics
1 answer:
alex41 [277]3 years ago
3 0

Answer:

3ft

Step-by-step explanation:

We are given that

Height of lamp, h=12ft

Height of shadow, l=6ft

Height of shadow of hydrant, l'=1.5ft

Let height of hydrant=h'

We have to find the height of fire hydrant.

All right triangles are similar

When two triangles are similar then, the ratio of their corresponding sides are equal.

Using the property

\frac{h}{h'}=\frac{l}{l'}

\frac{12}{h'}=\frac{6}{1.5}

h'=\frac{12\times 1.5}{6}

h'=3ft

Hence, the height of fire hydrant=3 ft

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