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melomori [17]
3 years ago
10

Choices; a) 21.8° b) 35.2° c) 45.1°

Mathematics
1 answer:
kifflom [539]3 years ago
6 0

Answer:

\displaystyle a) \: {x}^{ \circ}  =  21.8 ^{ \circ}

Step-by-step explanation:

we are given opposite and adjacent

we want to figure out x°

remember that,

\displaystyle \: \tan( \theta)  =  \frac{opp}{adj}

where our opp is 5 and adj is 12.5

let \theta be x°

so

\displaystyle \: \tan(  {x}^{ \circ} )  =  \frac{5}{12.5}

\displaystyle \: {x}^{ \circ}  =  \arctan \left( \frac{5}{12.5}  \right)

by using calculator

\displaystyle \: {x}^{ \circ}  =  21.8

hence,

our answer is a

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