Question

Choices;
a) 21.8°
b) 35.2°
c) 45.1°

Answer 1

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

Explanation:

we are given opposite and adjacent

we want to figure out x°

remember that,

`\displaystyle \: \tan( \theta) = (opp)/(adj)`

where our opp is 5 and adj is 12.5

let
`\theta` be x°

so

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

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

by using calculator

`\displaystyle \: {x}^( \circ) = 21.8`

hence,

our answer is a