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Nataly [62]
3 years ago
14

What is X=? // which choice is correct ? (Ignore my guessing choice mark)

Mathematics
1 answer:
mamaluj [8]3 years ago
7 0

Given:

A figure of a right angle triangle.

To find:

The length of the shorter leg.

Solution:

In a right angle triangle,

\tan\theta =\dfrac{Opposite}{Adjacent}

In the given triangle,

\tan (60^\circ) =\dfrac{18}{x}

\sqrt{3}=\dfrac{18}{x}

x=\dfrac{18}{\sqrt{3}}

x=\dfrac{18}{\sqrt{3}}\times \dfrac{\sqrt{3}}{\sqrt{3}}

On further simplification, we get

x=\dfrac{18\sqrt{3}}{3}

x=6\sqrt{3}

x=10.3923

x\approx 10.4

Therefore, the length of the shortest leg is 10.4 and the correct option is B.

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