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A. 2 sqrt 3

B. 4

C. 8

D. 4 sqrt 6

E. 12


Please help

A. 2 sqrt 3 B. 4 C. 8 D. 4 sqrt 6 E. 12 Please help-example-1
User Godbyk
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1 Answer

7 votes

Answer:

Option B. 4

Explanation:

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

Angle θ = 60 °

Opposite (Fe) = 4√3

Adjacent (DE) = x

The value of x can be obtained by using the Tan ratio as illustrated below:

Tan θ = Opposite / Adjacent

Tan 60 = 4√3 / x

√3 = 4√3 / x

Cross multiply

√3 × x = 4√3

Divide both side by √3

x = 4√3 /√3

x = 4

Thus, the length of DE is 4

User Asbar Ali
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