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katovenus [111]
3 years ago
11

-20 points!! - This is my last question until and I have like 6 minutes until the deadline!

Mathematics
1 answer:
Galina-37 [17]3 years ago
3 0

Given:

The figure.

To find:

The value of a.

Solution:

We know that, in a right angled triangle

\tan \theta =\dfrac{Perpendicular}{Base}

In the given triangle,

\tan (38^\circ) =\dfrac{6}{a}

Multiply both sides by a.

\tan (38^\circ)\times a=6

Divide both sides by \tan (38^\circ)

a =\dfrac{6}{\tan (38^\circ)}

The value of a is \dfrac{6}{\tan (38^\circ)}.

Therefore, the correct option is b.

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