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 = 0.8192 A = 45 H = ?

1 answer

To find the angle θ in the right triangle, we can use the inverse cosine function, also known as arccosine.

Since cos θ = 0.8192, we can use a table of trigonometric values or a calculator to find the angle whose cosine is 0.8192.

From the table, we find that the angle whose cosine is 0.8192 is approximately 36 degrees (to the nearest degree).

Therefore, θ ≈ 36 degrees.

However, the given values of A = 45 and H = ? are not sufficient to find the length of the hypotenuse. We need either the length of the angle or another side length to determine the length of the hypotenuse (H).