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Determine the value of each variable in the figure below. Keep answers in simplest radical form.

Determine The Value Of Each Variable In The Figure Below Keep Answers In Simplest Radical Form class=

Sagot :

ChoiSungHyun

Step-by-step explanation:

cos60° = Adjacent/Hypotenuse = a/42.

=> a = 42cos60° = 21.

sin60° = Opposite/Hypotenuse d/42.

=> d = 42sin60° = 42(√3/2) = 21√3.

tan30° = Opposite/Adjacent = d/b.

=> b = d / tan30° = (21√3) / (1/√3) = 63.

sin30° = Opposite/Hypotenuse = d/c.

=> c = d / sin30° = (21√3) / (1/2) = 42√3.

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