In ΔKLM, the measure of ∠M=90°, LK = 85, KM = 13, and ML = 84. What ratio represents the cosine of ∠K?

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In ΔKLM, the measure of ∠M=90°, LK = 85, KM = 13, and ML = 84. What ratio represents the cosine of ∠K?

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omotayoadekoya1 omotayoadekoya1 · Answer 1 · 2025-03-29T15:51:19-04:00

Answer:

13/85

Step-by-step explanation:

We can solve the triangle using the trigonometrical ratios which may be expressed in the form SOA CAH TOA Where,

SOA

Sin Ф = opposite side/hypotenuses side

CAH

Cosine Ф = adjacent side/hypotenuses side

TOA

Tangent Ф = opposite side/adjacent side

The hypotenuse is the side facing the right angle while the opposite is the side facing the given angle.

Hence considering ∠K,

KM is the adjacent side, KL is the hypotenuse side and ML is the opposite side.

cosine of ∠K = KM/KL

= 13/85

vintechnology vintechnology · Answer 2 · 2025-03-29T15:51:41-04:00

Answer:

cos K = 13/85

Step-by-step explanation:

KLM is a triangle with the ∠M = 90°. LK = 85, KM = 13 and ML = 84 . The ratio that represent the cosine of ∠K can be calculated below.

The triangle is a right angle triangle. The triangle has an opposite sides, adjacent sides and an hypotenuse.

KM = adjacent side

ML = opposite side

LK = hypotenuse

The ratio of the cosine of ∠ K can be gotten using the SOHCAHTOA principle.

cos K = adjacent/hypotenuse

adjacent = 13

hypotenuse = 85

cos K = 13/85