I need help with this assignment ### Focus: What are the trigonometric ratios?#### Learning Objective:- I will be able to find the missing side lengths of a right triangle by using trigonometric ratios.#### Write the value for each trigonometric ratio:1. **tan A** - Diagram: A right triangle with legs labeled as follows: AC = 34, AB = 16, and BC = 30.2. **cos C** - Diagram: A right triangle with legs labeled as follows: AC = 15, AB = 9, and BC = 12.3. **sin Z** - Diagram: A right triangle with legs labeled as follows: XZ = 20, ZY = 16, and YX = 12.4. **sin C** - Diagram: A right triangle with legs labeled as follows: AC = 50, AB = 40, and BC = 30.##### Graphs/Diagrams Explanation:1. **tan A Diagram**: - Triangle with one of the angles labeled as $ A $. - The opposite side of angle $ A $ is 30 units, the adjacent side is 16 units, and the hypotenuse is 34 units. 2. **cos C Diagram**: - Triangle with one of the angles labeled as $ C $. - The adjacent side to angle $ C $ is 12 units, the opposite side is 9 units, and the hypotenuse is 15 units. 3. **sin Z Diagram**: - Triangle with one of the angles labeled as $ Z $. - The side opposite of angle $ Z $ is 16 units, the adjacent side is 12 units, and the hypotenuse is 20 units. 4. **sin C Diagram**: - Triangle with one of the angles labeled as $ C $. - The side opposite to angle $ C $ is 30 units, the adjacent side is 40 units, and the hypotenuse is 50 units.##### Note:- Students are encouraged to draw or write on the provided slides to solve for the values of each trigonometric ratio. ### Focus: What are the trigonometric ratios?#### Learning Objective: I will be able to find the missing side lengths of a right triangle by using trigonometric ratios.---### Find the length of the missing side:#### Problem 5:A right triangle is presented with the following details:- One angle is 38°.- The length of the side adjacent to the 38° angle is $ x $.- The length of the hypotenuse is 20 units.Illustration:``` /|x / | 20 / | /___|38°```#### Problem 6:A right triangle is presented with the following details:- One angle is 63°.- The length of the side opposite the 63° angle is 23 units.- The length of the hypotenuse is $ x $.Illustration:``` /|23/ | x / |/___|63°```---(Note: Pear Deck Interactive Slide is mentioned to be used by students for interactive engagement.)

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Math

Trigonometry

Write the value for each trigonometric ratio: 1) tan A 2) cos C 15 34 30 12 16 B 3) sin Z 4) sin C 20 50 12 30 16 40

Trigonometry (MindTap Course List)

8th Edition

ISBN:9781305652224

Author:Charles P. McKeague, Mark D. Turner

Publisher:Charles P. McKeague, Mark D. Turner

Chapter2: Right Triangle Trigonometry

Section2.4: Applications

Problem 48PS: Albert lives in New Orleans. At noon on a summer day, the angle of elevation of the sun is 84. The...

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Question

I need help with this assignment

### Focus: What are the trigonometric ratios?

#### Learning Objective:
- I will be able to find the missing side lengths of a right triangle by using trigonometric ratios.

#### Write the value for each trigonometric ratio:

1. **tan A**
- Diagram: A right triangle with legs labeled as follows: AC = 34, AB = 16, and BC = 30.
2. **cos C**
- Diagram: A right triangle with legs labeled as follows: AC = 15, AB = 9, and BC = 12.
3. **sin Z**
- Diagram: A right triangle with legs labeled as follows: XZ = 20, ZY = 16, and YX = 12.
4. **sin C**
- Diagram: A right triangle with legs labeled as follows: AC = 50, AB = 40, and BC = 30.

##### Graphs/Diagrams Explanation:
1. **tan A Diagram**:
- Triangle with one of the angles labeled as $ A $.
- The opposite side of angle $ A $ is 30 units, the adjacent side is 16 units, and the hypotenuse is 34 units.

2. **cos C Diagram**:
- Triangle with one of the angles labeled as $ C $.
- The adjacent side to angle $ C $ is 12 units, the opposite side is 9 units, and the hypotenuse is 15 units.

3. **sin Z Diagram**:
- Triangle with one of the angles labeled as $ Z $.
- The side opposite of angle $ Z $ is 16 units, the adjacent side is 12 units, and the hypotenuse is 20 units.

4. **sin C Diagram**:
- Triangle with one of the angles labeled as $ C $.
- The side opposite to angle $ C $ is 30 units, the adjacent side is 40 units, and the hypotenuse is 50 units.

##### Note:
- Students are encouraged to draw or write on the provided slides to solve for the values of each trigonometric ratio.

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