Answer:
-65°
Explanation:
You want the angle whose tangent is -2.1.
Arctangent
The inverse tangent function is used to find the angle when the tangent is known. On your calculator, the key for this will likely be labeled tan⁻¹. You need to make sure the calculator mode is set to degrees.
The value of θ is about -65°.
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Additional comment
The principal branch of the arctangent function extends from -90° to +90°. The tangent function is periodic with period 180°, so adding any integer multiple of 180° to -65° will give you another angle whose tangent is -2.1. One such angle is 115°.
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