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16 votes
16 votes
Write your answer in simplest radical form​

Write your answer in simplest radical form​-example-1
User Kojiwell
by
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1 Answer

13 votes
13 votes

Answer:

a = 3√6 in

Explanation:

From the question given above, the following data were obtained:

Angle θ = 60°

Adjacent = 3√2 in

Opposite = a =?

The value of 'a' can be obtained by using the tan ratio as illustrated below:

Tan θ = Opposite / Adjacent

Tan 60 = a / 3√2

√3 = a / 3√2

Cross multiply

a = √3 × 3√2

Recall:

c√d × n√m = (c×n) √(d×m)

Thus,

√3 × 3√2 = (1×3)√(3×2)

√3 × 3√2 = 3√6

a = 3√6 in

User Oscar Wahltinez
by
3.1k points