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
Given that tan θ = 1.00, we can find the angle θ by using the inverse tangent function (also known as arctan or tan^-1).
Looking at the table of trigonometric values, we can find that the inverse tangent of 1.00 is approximately 45 degrees.
Therefore, the angle θ is approximately 45 degrees.
To find the angle θ in the right triangle, we can use the inverse tangent function. We know that tan θ = 1.00.
Based on the information given, we have:
Opposite side (O) = ?
Adjacent side (A) = 247
To find the angle θ, we can use the formula tan^(-1)(O/A) = θ.
Substituting the known values, we have:
tan^(-1)(O/247) = 1.00
To find O, we need to isolate it. We will take the tangent of both sides:
tan(tan^(-1)(O/247)) = tan(1.00)
Using the trigonometric identity tan(tan^(-1)x) = x, the equation simplifies to:
O/247 = 1.00
To solve for O, we can cross-multiply:
O = 1.00 * 247
O = 247
Therefore, the value of O is 247.