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Standard VII

Mathematics

Ratio

Question 60Th...

Question

Question 60

The shadow of a 3m long stick is 4m long. At the same time of the day, if the shadow of a flagstaff is 24 long, how tall is the flagstaff?

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Solution

Let the length of flagstaff is $x$ .
Shadow : Length :: Shadow : Length
$4 m : 3 m :: 24 m : x$
$\frac{4}{3} = \frac{24}{x}$ [ if, a,b,c and d are in proportion, then $\frac{a}{b} = \frac{c}{d}$ ]
$4 \times x = 3 \times 24$
$x = \frac{3 \times 24}{4}$ [by cross multiplication]
$x$ = 18
Hence, the flagstaff is 18 m tall.

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Question 60 The shadow of a 3m long stick is 4m long. At the same time of the day, if the shadow of a flagstaff is 24 long, how tall is the flagstaff?

Let the length of flagstaff is x. Shadow : Length :: Shadow : Length 4 m:3 m::24 m:x 43=24x [ if, a,b,c and d are in proportion, then ab=cd] 4×x=3×24 x=3×244 [by cross multiplication] x = 18 Hence, the flagstaff is 18 m tall.

Question 60

The shadow of a 3m long stick is 4m long. At the same time of the day, if the shadow of a flagstaff is 24 long, how tall is the flagstaff?