Use a table of trigonometric values to find the angle θ in the right triangle in the following problem.

Question

Round to the nearest degree, if necessary.

cos θ = ? A = 22 H = 38

Answer 1

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.