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?

Open in App

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.

Suggest Corrections

Similar questions

Q. The shadow of a flagstaff is three times as long as the shadow of the flagstaff when the sun rays meet the ground at

60^{\circ}

Find he angle between the sun rays and the ground at the time of longer shadow.

Q. A tree 6m tall casts a 4m long shadow. At the same time, a flag pole casts a shadow 50m long. How long is the flag pole?

Q. The shadow of a flagstaff is three times as long as the shadow of the flagstaff when the sun rays meet the ground at angle of

60^{o}

. Find the angle between the sun rays and ground at the time of the longer shadow.

A flagstaff 6 metres high throws a shadow 2 $\sqrt{3}$ m long on the ground. The angle of elevation of the top of the flagstaff from the point where the shadow ends?

At a particular time of a day, a $7 m$ -high flagstaff casts a shadow which is $8.2 m$ long. What is the height of the building which casts a shadow $20.5 m$ in length at the same moment?

Join BYJU'S Learning Program

Explore more

Properties of Measures of Central Tendency

Standard IX Mathematics

Join BYJU'S Learning Program

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.