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Help with this question

Help with this question-example-1
User Asnr
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1 Answer

7 votes

Answer:

b = 5√3

Explanation:

I would honestly just use pythag, but I'll use trig:

tanθ = opposite/adjacent

tan(30°) = 5/b

btan(30°) = 5

b = 5/tan(30°)

b = 5/(√3/3) = 15/√3

b = 15/√3 · (√3/√3) = 15√3/3

b = 5/√3

Check with pythag:

a² + b² = c²

5² + 5√3² = 10²

25 + 25(3) = 100

25 + 75 = 100 ✅

I hope this helps!

User Paulogdm
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5.4k points