Answer:
∠J = 49°
Explanation:
Given a right angles triangle ΔIJK as shown in the attachment
Given
∠K=90°
JK = 6.4 feet = adjaccent
KI = 7.3 feet = opposite
Since we are looking for ∠J, we will use TOA according to SOH, CAH, TOA
Tanθ = opposite/adjacent
Tanθ = 7.3/6.4
Tanθ = 1.140625
θ = tan⁻¹1.140625
θ = 48.759°
θ ≈ 49° (to the nearest degree)
Hence the measure of ∠J to the nearest degree is 49°