Verified Answer :

GinnyAnswer

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.

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