A right triangle has a angle of x an adjacent of 29 and an oppisite of 14
Solve for x. Round to the nearest tenth. Please show all work including the trig function used in order to receive full credit.
In a right triangle, the sine function relates the lengths of the opposite side and the hypotenuse, the cosine function relates the lengths of the adjacent side and the hypotenuse, and the tangent function relates the lengths of the opposite side and the adjacent side.
Since we are given the lengths of the adjacent side (29) and the opposite side (14), we can use the tangent function to solve for x.
The tangent function is defined as:
tan(x) = opposite/adjacent
Plugging in the values we have:
tan(x) = 14/29
To solve for x, we can take the inverse tangent (arctan) of both sides:
x = arctan(14/29)
Using a calculator, we find that x ≈ 25.9 degrees.
Therefore, the value of x, rounded to the nearest tenth, is approximately 25.9 degrees.