Question

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

Answer 1

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.