find the value of x.\nx = \n(do not include the degree symbol in your answer. round to the nearest degree as…

find the value of x.\nx = \n(do not include the degree symbol in your answer. round to the nearest degree as needed.)

find the value of x.\nx = \n(do not include the degree symbol in your answer. round to the nearest degree as needed.)

Answer

Explanation:

Step1: Identify trigonometric ratio

We know that in a right - triangle, $\tan\theta=\frac{\text{opposite}}{\text{adjacent}}$. Here, $\tan x=\frac{9}{5}$.

Step2: Solve for x

$x = \arctan(\frac{9}{5})$. Using a calculator, $x=\arctan(1.8)\approx 61$.

Answer:

61