Question

How do you solve cos $38={\displaystyle \frac{45}{x}}$?

Answer 1

Hint: In arithmetic, the cosine work (cos) is a capacity that relates the inside point of a triangle to the length of its sides. The cosine work, alongside the sine and digression work are the three essential geometrical capacities.

Complete step by step answer:
Given$\Rightarrow$cos$38={\displaystyle \frac{45}{x}}$
Cos$38=0.788010753$
$\begin{array}{rl}& \Rightarrow {\displaystyle \frac{\cos }{1}}={\displaystyle \frac{45}{x}}\\ & \Rightarrow \cos 38x=45\\ & \Rightarrow 0.788010753\times x=45\\ & \Rightarrow x={\displaystyle \frac{45}{0.788010753}}\\ & \therefore x=57.10581972\end{array}$

Note: Check the answer by substituting $x=57.10581972$ in question.
$\begin{array}{rl}& \Rightarrow \mathrm{Cos}38={\displaystyle \frac{45}{x}}\\ & \Rightarrow \cos 38={\displaystyle \frac{45}{57.10581972}}\\ & \Rightarrow 0.788010753\end{array}$
And cos$38=0.788010753$