Question

Find the measure of the indicated angle to the nearest degree. Show the work please.​

Answer 1

Question 1:

cosθ = adj/hyp

cosθ = 3/7

θ = cos^-1(3/7)

θ = 65

Questions 2:

tanθ = opp/adj

tanθ = 8/26

θ = tan^-1(4/13)

θ = 17

Question 3:

Top left:

sinθ = opp/hyp

sinθ = 14/23

θ = tan^-1(14/23)

θ = 37

Bottom Right:

cosθ = adj/hyp

cosθ = 14/23

θ = cos^-1(14/23)

θ = 53

Best of Luck!

Answer 2

Answer: 1) 65° 2) 17° 3) 53° or 37°

Explanation:

`1.\quad \cos \theta=(adjacent)/(hypotenuse)\\\\\\.\quad \quad \cos \theta=(3)/(7)\\\\\\.\qquad \qquad \theta=\cos ^(-1)\bigg((3)/(7)\bigg)\\\\\\.\qquad \qquad \theta =65^o`

`2.\quad \tan \theta =(opposite)/(adjacent)\\\\\\.\quad \quad \tan\theta =(8)/(26)\\\\\\.\qquad \qquad \theta =\tan ^(-1)\bigg((4)/(13)\bigg)\\\\\\.\qquad \qquad \theta = 17^o`

3. Which angle do you need? I solved for both:

Bottom Right Top Left

`.\qquad \cos \theta=(adjacent)/(hypotenuse)\qquad \qquad \sin \theta = (opposite)/(hypotenuse)\\\\\\.\quad \quad \cos \theta=(14)/(23)\qquad \qquad \qquad \qquad \sin \theta=(14)/(23)\\\\\\.\qquad \qquad \theta=\cos ^(-1)\bigg((14)/(23)\bigg)\qquad \qquad \quad \theta=\sin ^(-1)\bigg((14)/(23)\bigg)\\\\\\.\qquad \qquad \theta =53^o\qquad \qquad \qquad \qquad \quad \theta =37^o`