To find the value of the acute angle θ in a right triangle where sin(θ) = cos(58), we can use the complementary angle identity. According to this identity, the sine of an angle is equal to the cosine of its complement and vice versa:
sin(θ) = cos(90° - θ)
Using the given equation sin(θ) = cos(58°), we can say that:
θ = 90° - 58°
Now, let's calculate θ:
θ = 32°
So the value of the acute angle θ in the right triangle is 32 degrees.
