Combining $\sqrt{3}\,x = x + 42$ gives $x = ?$

Setting the two height expressions equal gives $\sqrt{3}\,x = x + 42$ , so $\sqrt{3} x - x$ , i.e. . Dividing yields .

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এই অধ্যায়ের আরও প্রশ্ন

C-10-Q076Hence approximately equals—
C-10-Q077Rationalizing, is equivalent to—
C-10-Q078As the observer moves backwards on level ground, the angle of elevation of a fixed building top—
C-10-Q079The pole stands , breaks without separation, and the broken piece slopes down to at distance m, with . From ,
C-10-Q080Solving for the standing piece, equals—
C-10-Q081Numerically equals—
C-10-Q082From the same triangle, equals—
C-10-Q083So the broken piece equals—
C-10-Q084The total height of the pole is approximately—

42(\sqrt{3}-1)

42\sqrt{3}

42

=

42

\sqrt{3}\,x - x = 42

3 x - x = 42

x(\sqrt{3}-1)=42

x = \frac{42}{\sqrt{3}-1}