Use a table of trigonometric values to find the angle θ in the right triangle in the following problem.
Round to the nearest degree, if necessary.
cos θ = ? A = 22 H = 38
To find the angle θ, we need to use the inverse cosine function (also known as arccosine or cos^-1).
We have the values of adjacent side (A) and hypotenuse (H) in the right triangle.
From the cosine function in a right triangle, we know that cos θ = A/H.
Plugging in the given values, we have cos θ = 22/38.
To find the angle θ, we will take the inverse cosine of both sides of the equation.
θ = cos^-1(22/38)
Using a calculator, we find:
θ ≈ 56 degrees
Therefore, the angle θ in the right triangle is approximately 56 degrees.