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Use trigonometric ratios to solve the right triangle.

The length of leg DF is WARRAND -
The length of leg DE is

Use trigonometric ratios to solve the right triangle. The length of leg DF is WARRAND-example-1
User Lepe
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1 Answer

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Answer:

  • DF = 21
  • DE = 7√3

Explanation:

The mnemonic SOH CAH TOA reminds you ...

Sin = Opposite/Hypotenuse

Side DF is opposite the marked angle, and the hypotenuse is EF, so ...

sin(60°) = (√3)/2 = DF/(14√3) . . . . . to solve, multiply by the denominator

DF = (√3)/2·(14√3) = 7·3 = 21

__

Likewise,

Cos = Adjacent/Hypotenuse

Side DE is adjacent to the marked angle, so ...

cos(60°) = 1/2 = DE/(14√3) . . . . . to solve, multiply by the denominator

DE = (1/2)(14√3) = 7√3

User Markus Benko
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