Question

Find the unknown angle:
R?
17
330
30
S

Answer 1

`R=145^o`

Explanation:

Label the triangle (Best for organization)

Longest side of the triangle is called the Hypotenuse, or Hyp.

Shortest side of the triangle is called the Opposite, or Opp.

Last side of the triangle is called the Adjacent, or Adj.

Formula

`sin` x*=
`(Opp)/(Hyp)`

Find the inverse (value for "?")

sin x*=17/30

x*=
`sin^(-1)`
`((17)/(30) )`

34.5*-->35*

?=35*

Triangle interior angles amount in 180 degrees

180-(35+33)=112*

Exterior angle equals the two opposite interior angles (aka/ defined as the Exterior Angle Theorem)

R=33*+112*

R=145*