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What is the length of LM? (Question and answer choices provided in picture.)

What is the length of LM? (Question and answer choices provided in picture.)-example-1
User JTaub
by
4.4k points

2 Answers

4 votes

Answer:


\large \boxed{24 √(3) }

Explanation:

The triangles are right triangles. We can use trig functions to solve.

cos θ = adj/hyp

Take the triangle KLM.

cos 30 = LM/KL

cos 30 = LM/48

Multipy both sides by 48

(48) cos 30 = LM/48 (48)

Simplify.

48 cos30 = LM

24√3 = LM

User Pierce Griffiths
by
4.0k points
0 votes

Answer:

24√3

Explanation:

cos∅ = adjacent over hypotenuse

Step 1: Use cos∅

cos30° = LM/48

Step 2: Multiply both sides by 48

48cos30° = LM

Step 3: Evaluate

LM = 24√3

User Bertrandom
by
4.3k points