hannah03230
hannah03230 hannah03230
  • 19-02-2021
  • Mathematics
contestada

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 class=

Respuesta :

Eduard22sly
Eduard22sly Eduard22sly
  • 24-02-2021

Answer:

Option B. 4

Step-by-step 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

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