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Feliz [49]
3 years ago
10

Use the diagram of the right triangle above and round your answer to the nearest hundredth.

Mathematics
1 answer:
Yakvenalex [24]3 years ago
4 0

Answer:

value of a = 6.93 m

hence , (b.)

Step-by-step explanation:

the given triangle is a right angled triangle, so

by using trigonometry.

=》

\tan(a)   = \tan(30)  =  \frac{1}{ \sqrt{3} }

and we know,

=》

\tan(a)  =  \frac{a}{b}

so, by above values of tan ( a ) we get,

=》

\frac{a}{b}  =  \frac{1}{ \sqrt{3} }

=》

\frac{a}{12}  =  \frac{1}{ \sqrt{3} }

=》

a = \frac{12}{ \sqrt{3} }

=》

a = 4 \sqrt{3}

=

=》

a = 6.93

hence, a = 6.93 m

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