Respuesta :
Answer: 75°
Step-by-step explanation:
The degree measure of angle whose tangent is 3.73 is 75°. Since the tangent of the angle has been given, we find the inverse to get the angle. The solution is attached.
The tangent or tanθ in a right angle triangle is the ratio of its perpendicular to its base. The degree measure of the angle whose tangent is 3.73 is 75°.
What is Tangent (Tanθ)?
The tangent or tanθ in a right angle triangle is the ratio of its perpendicular to its base. it is given as,
[tex]\rm Tangent(\theta) = \dfrac{Perpendicular}{Base}[/tex]
where,
θ is the angle,
Perpendicular is the side of the triangle opposite to the angle θ,
The base is the adjacent smaller side of the angle θ.
Given the tangent, the measure is 3.73. Therefore, the degree measure can be written as
tanθ = 3.73
θ = tan⁻¹(3.73)
θ = 74.9921° ≈ 75°
Hence, the degree measure of the angle whose tangent is 3.73 is 75°.
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