69,835 views
2 votes
2 votes
Please answer all 3 pictures

Find the value of x. Since we are finding angle measures, round to the nearest degree.

Please answer all 3 pictures Find the value of x. Since we are finding angle measures-example-1
Please answer all 3 pictures Find the value of x. Since we are finding angle measures-example-1
Please answer all 3 pictures Find the value of x. Since we are finding angle measures-example-2
Please answer all 3 pictures Find the value of x. Since we are finding angle measures-example-3
User Brandon Kauffman
by
2.8k points

1 Answer

19 votes
19 votes

Answer:

1) x = 60°

2) x = 62.5°

3) x = 66.9°

Explanation:

Trig identities:


sin(x)=(O)/(H) \ \ \ \ \ cos(x)=(A)/(H) \ \ \ \ \ tan(x)=(O)/(A)

where

  • x = angle
  • O = side opposite the angle
  • A = side adjacent the angle
  • H = hypotenuse

1)


cos(x)=(9)/(18)\\\\\implies cos(x)=\frac12\\\\\implies x=arccos\frac12\\\\\implies x = 60

2)


tan(x)=(25)/(13)\\\\\implies x=arctan(25)/(13)\\\\\implies x = 62.5

3)


sin(x)=(23)/(25)\\\\\implies x=arcsin(23)/(25)\\\\\implies x = 66.9

User GHH
by
2.8k points