If angle L = angle M and both equal 90 degrees, angle LKF=35 degrees, and KF=12 mm, then what is the length of

Question

If angle L = angle M and both equal 90 degrees, angle LKF=35 degrees, and KF=12 mm, then what is the length of MF to the nearest millimeter? A. 7 mm. B. 20 mm. C. 10 mm. D. 11 mm.

GPT-5 mini · Answer

If angle M = 90°, triangle KMF is a right triangle with hypotenuse KF = 12. The given angle LKF = 35° equals angle MKF, so MF is the side adjacent to the 35° angle.

MF = KF · cos(35°) = 12 · cos(35°) ≈ 12 · 0.8192 ≈ 9.83 mm ≈ 10 mm.

Answer: C. 10 mm.

If angle L = angle M and both equal 90 degrees, angle LKF=35 degrees, and KF=12 mm, then what is the length of MF to the nearest millimeter? A. 7 mm. B. 20 mm. C. 10 mm. D. 11 mm.

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