Find the value of x. Round to the nearest degree.
33 degrees
40 degrees
50 degrees
57 degrees

Answer: x = 33 degrees
Step-by-step explanation:
The given triangle is a right angle triangle.
From the given right angle triangle,
The length of the hypotenuse of the right angle triangle is 19
With x degrees as the reference angle,
The length of the adjacent side of the right angle triangle is 16
To determine x, we would apply trigonometric ratio
Cos θ = adjacent side/hypotenuse side. Therefore,
Cos x = 16/19 = 0.842
x = Cos^-1(0.842)
x = 33 degrees
Answer: Angle x is 33° (approximately)
Step-by-step explanation: What you have here is a right angled triangle with the hypotenuse measuring 19 units. The line facing angle x is the opposite and is unknown, while the line between angle x and angle 90° the adjacent, measures 16 units.
Since we have an adjacent and a hypotenuse, we shall apply the trigonometrical ratio of cosine.
Cos x = adjacent/hypotenuse
Therefore,
Cos x = 16/19
Cos x = 0.8421 (rounded up to the nearest four digits)
Using a calculator OR looking up a table of values of trigonometrical ratios,
Cos x = 0.8421 is given as 32.64°
X = 32.64°
Approximately 33°