Question

The heights of base, minarets and mausoleum are in the ratio 1 : 6: 11. Find the height of base and mausoleum if the height of a minaret is 42 m.

Answer 1

Given :-

The heights of base, minarets and mausoleum are in the ratio 1 : 6: 11.

The height of the minaret is 42 m.

To find :-

The height of base and mausoleum .

Solution :-

Given that

The ratio of the heights of base, minarets and mausoleum = 1:6:11

Let they be X m , 6X m , 11X m

The height of the base = X m

The height of minarets = 6X m

The height of mausoleum = 11X m

Given that

The height of the minaret = 42 m

Therefore, 6X = 42

=> X = 42/6

=> X = 7 m

The height of the base = 7 m

The height of the mausoleum = 11X = 11(7) = 77 m

Answer :-

• The height of base = 7 m

• The height of mausoleum = 77 m

Answer 2

Answer:

Given :-

• The height of base, minarets and mousoleum are in the ratio of 1 : 6 : 11.
• The height of a minaret is 42 m.

To Find :-

• What is the height of base and minartes.

Solution :-

Let,

$\mapsto \bf Height_{(Base)} =\: a\: m$

$\mapsto \bf Height_{(Minaret)} =\: 6a\: m$

$\mapsto \bf Height_{(Mausoleum)} =\: 11a\: m$

According to the question,

$\bigstar$ The height of a minaret is 42 m.

So,

$\implies \bf Height_{(Minaret)} =\: 42$

$\implies \sf 6a =\: 42$

$\implies \sf a =\: \dfrac{42}{6}$

$\implies \sf\bold{\purple{a =\: 7}}$

Hence, the required base, minarets and mousoleum are :

$\dag$ Height Of Base :

$\dashrightarrow \sf Height_{(Base)} =\: a\: m$

$\dashrightarrow \sf\bold{\red{Height_{(Base)} =\: 7\: m}}$

$\dag$ Height Of Minarets :

$\dashrightarrow \sf Height_{(Minaret)} =\: 6a\: m$

$\dashrightarrow \sf Height_{(Minaret)} =\: (6 \times 7)\: m$

$\dashrightarrow \sf\bold{\red{Height_{(Minaret)} =\: 42\: m}}$

$\dag$ Height Of Mausoleum :

$\dashrightarrow \sf Height_{(Mausoleum)} =\: 11a\: m$

$\dashrightarrow \sf Height_{(Mausoleum)} =\: (11 \times 7)\: m$

$\dashrightarrow \sf\bold{\red{Height_{(Mausoleum)} =\: 77\: m}}$

$\therefore$ The height of base is 7 m and the height of mausoleum is 77 m .

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