Question

Find the value of x.

• A. $\frac{{45}^o}{x}=tan{45}^o$
• B. $x=\frac{tan{40}^o}{{45}^o}$
• C. $x={45}^o\times tan{40}^o$
• D. $x=\frac{{45}^o}{tan{40}^o}$

Answer 1

The correct option is D $x=\frac{{45}^o}{tan{40}^o}$


Given:
AB = 45 units
$\angle ACB={40}^0$
To find : Value of x

Trigonometric ratio connecting opposite side and adjacent side is $tan\theta$.
So, $tanC=\frac{Oppositeside}{Adjacentside}$
$tan{40}^o=\frac{AB}{BC}=\frac{45}{x}$
$x=\frac{{45}^o}{tan{40}^o}$