Questions: Find the angle with a tangent ratio of 0.4877. a. 30° b. 64° c. 60° d. 26°

Solution Steps

To find the angle with a given tangent ratio, we need to use the arctangent (inverse tangent) function. This function will return the angle whose tangent is the given ratio. We will then compare the result with the provided options to find the closest match.

To find the angle \( \theta \) such that \( \tan(\theta) = 0.4877 \), we use the arctangent function: \[ \theta = \tan^{-1}(0.4877) \approx 25.9985 \]

Rounding the calculated angle to four significant digits, we have: \[ \theta \approx 26.00 \]

Now we compare \( 26.00 \) with the provided options:

• a. \( 30^{\circ} \)
• b. \( 64^{\circ} \)
• c. \( 60^{\circ} \)
• d. \( 26^{\circ} \)

The closest match is option d.

Final Answer