The measure of angle of ∠BAM (θ) will be 9°. Then the correct option is D.
<h3>What is trigonometry?</h3>
The connection between the lengths and angles of a triangular shape is the subject of trigonometry.
ABCD is a rectangle with AB = 3BC.
And M is the mid-point of BC.
2BM = BC
Then the tangent of angle of ∠BAM (θ) will be
tan θ = (BM) / (AB)
tan θ = (BM) / (3BC)
tan θ = (BM) / (3 × 2BC)
tan θ = 1/6
θ = tan⁻¹ (1/6)
θ = 9.46°
θ ≅ 9°
Then the correct option is D.
More about the trigonometry link is given below.
brainly.com/question/22698523
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