Answer:
77°
Step-by-step explanation:
From the question given above, the following data were obtained:
Cos α = 0.93
Sine θ = 0.26
Tan β = 0.84
α + β + θ =?
Next, we shall determine the value of α. This can be obtained as follow:
Cos α = 0.93
Take the inverse of Cos
α = Cos¯¹ 0.93
α = 22°
Next, we shall determine the value of θ. This can be obtained as follow:
Sine θ = 0.26
Take the inverse of Sine
θ = Sine¯¹ 0.26
θ = 15°
Next, we shall determine the value of β. This can be obtained as follow:
Tan β = 0.84
Take the inverse of Tan.
β = Tan¯¹ 0.84
β = 40°
Finally, we shall determine the value of α + β + θ . This can be obtained as follow:
α = 22°
θ = 15°
β = 40°
α + β + θ = 22 + 40 + 15
α + β + θ = 77°
