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Unit 8: Right Triangles & Trigonometry homework 4 trigonometry finding sides and angles

Unit 8 Right Triangles Amp Trigonometry Homework 4 Trigonometry Finding Sides And Angles class=

Sagot :

akposevictor

Applying the trigonometric ratios, the missing sides and angles of the right triangles are:

1. x = 7.3

2. x = 33.3

3. x = 21.3

4. x = 31.9

5. x = 25.6

6. x = 11.0

7. x = 41.8°

8. x = 64.2°

9. x = 12.8°

10. x = 51.3°

Trigonometry Ratios

The trigonometry ratios for solving right triangles are:

  • SOH: sin ∅ = opp/hyp
  • CAH: cos ∅ = adj/hyp
  • TOA: tan ∅ = opp/adj.

1. ∅ = 63°

hyp = 16

adj = x = ?

Apply CAH:

cos 63 = x/16

x =  cos 63 × 16

x = 7.3

2. ∅ = 39°

opp = 27

adj = x = ?

Apply TOA:

tan 39 = 27/x

x =  27/tan 39

x = 33.3

3. ∅ = 49°

adj = 14

hyp = x = ?

Apply CAH:

cos 49 = 14/x

x = 14/cos 49

x = 21.3

4. ∅ = 15°

hyp = 33

adj = x = ?

Apply CAH:

cos 15 = x/33

x =  cos 15 × 33

x = 31.9

5. ∅ = 52°

adj = 20

opp = x = ?

Apply TOA:

tan 52 = x/20

x =  tan 52 × 20

x = 25.6

6. ∅ = 27°

opp = 5

hyp = x = ?

Apply SOH:

sin 27 = 5/x

x = 5/sin 27

x = 11.0

7. ∅ = x°

hyp = 6

opp = 4

Apply SOH:

sin x = 4/6

x = sin^-1(4/6)

x = 41.8°

8. ∅ = x°

adj = 14

opp = 29

Apply TOA:

tan x = 29/14

x = tan^-1(29/14)

x = 64.2°

9. ∅ = x°

hyp = 54

opp = 12

Apply SOH:

sin x = 12/54

x = sin^-1(12/54)

x = 12.8°

10. ∅ = x°

hyp = 40

adj = 25

Apply CAH:

cos x = 25/40

x = cos^-1(25/40)

x = 51.3°

Learn more about trigonometric ratios on:

https://brainly.com/question/10417664

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