Question

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

Answer 1

`\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

Answer 2

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