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.
tan θ = 1.00 O = ? A = 247
In this problem, we are given the tangent of the angle θ as 1.00. From the table of trigonometric values, we can find the angle whose tangent is 1.00.
Looking at the table, we find that the angle whose tangent is 1.00 is approximately 45 degrees. Therefore, the angle θ is approximately equal to 45 degrees.
Since the problem statement does not provide any information about sides O and A, we cannot determine their values or lengths from the given information.
To find the angle θ, we need to use the inverse tangent function. Since tan θ = O / A, where O is the opposite side and A is the adjacent side of the triangle, we can substitute the given values:
1. tan θ = 1.00
2. O = ?
3. A = 247
Using a calculator or a table of trigonometric values, we find that the inverse tangent of 1.00 is approximately 45 degrees. Therefore, the angle θ is approximately 45 degrees.