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xxMikexx [17]
3 years ago
6

Solve 5 tan x = 5√(3) for 0° ≤ x ≤ 180°. a. 60° b. 150° c. 30° d. 120°

Mathematics
1 answer:
ladessa [460]3 years ago
6 0

Answer:

\boxed{a.\:\:\:60\degree}

Step-by-step explanation:


The given trigonometric equation is


5\tan(x)=5\sqrt{3} for 0\degree \le x\le 180\degree.


We divide through by 5 to get;


\tan(x)=\sqrt{3}


We take the inverse tangent of both sides to obtain;


x=tan^{-1}(\sqrt{3})


x=60\degree


Since the tangent ratio is positive, it means x could also be in the 3rd quadrant. But this is outside the given range.


Therefore the correct answer is A


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Step-by-step explanation:

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I think your question is missed of key information, allow me to add in and hope it will fit the original one.  Please have a look at the attached photo.

My answer:

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= =

() = inches, or feet  

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= = ( )  

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12345 [234]

Answer:

Step-by-step explanation:

Part A

Since, the given angles are formed at a point are on a straight line, sum of these angles will be 180°.

Part B

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Part C

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             = 43°

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