Question

Choices; a) 21.8° b) 35.2° c) 45.1°

Answer 1

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