- By
**vita** - Follow User

- 748 Views
- Uploaded on

Download Presentation
## PowerPoint Slideshow about ' Homework, Page 484' - vita

**An Image/Link below is provided (as is) to download presentation**

Download Policy: Content on the Website is provided to you AS IS for your information and personal use and may not be sold / licensed / shared on other websites without getting consent from its author.While downloading, if for some reason you are not able to download a presentation, the publisher may have deleted the file from their server.

- - - - - - - - - - - - - - - - - - - - - - - - - - E N D - - - - - - - - - - - - - - - - - - - - - - - - - -

Presentation Transcript

### 5.6

Homework, Page 484

Two triangles can be formed using the given measurements. Find both triangles.

21.

Homework, Page 484

Decide whether the triangle can be solved using the Law of Sines. If so, solve it, if not, explain why not.

25.

Neither triangle can be solved using the Law of Sines, for the one on the left we need to know the length of the side opposite the known angle and for the one on the right, we have the same problem.

Homework, Page 484

Respond in one of the following ways:

(a) State: “Cannot be solved with Law of Sines.”

(b) State: “No triangle is formed.”

(c) solve the triangle.

29.

No triangle is formed. The largest side of a triangle is opposite the largest angle and angle A must be the largest angle and side a is no the largest side.

Homework, Page 484

Respond in one of the following ways:

(a) State: “Cannot be solved with Law of Sines.”

(b) State: “No triangle is formed.”

(c) solve the triangle.

33.

Homework, Page 484

37. Two markers A and B on the same side of a canyon rim are 56 ft apart. A third marker C, located on the opposite rim, is positioned so that

(a) Find the distance between C and A.

(b) Find the distance between the canyon rims.

Homework, Page 484

41. A 4-ft airfoil attached to the cab of a truck makes an 18º angle with the roof and angle β is 10º. Find the length of the vertical brace positioned as shown.

Homework, Page 484

45. Two lighthouses A and B are known to be exactly 20 mi apart. A ship’s captain at S measures the angle S at 33º. A radio operator measures the angle B at 52º. Find the distance from the ship to each lighthouse.

Homework, Page 484

53. (a) Show that there are infinitely many triangles with AAA given if the sum of the three positive angles is 180º.

Consider the triangle formed with its base on a radius that is one-half the diameter of a semi-circle. If the opposite ends of the radius are connected to a point on the semi-circle, a triangle is formed. Since there are an infinite number of possible values of the radius, there must be an infinite number of possible triangles.

Homework, Page 484

53. (b) Give three examples of triangles where A = 30º, B = 60º, and C = 90º.

(c) Give three examples where A = B = C = 60º.

Homework, Page 484

57. Towers A and B are known to be 4.1 mi apart on level ground. A pilot measures the angles of depression to the towers at 36.5º and 25º, respectively. Find distances AC and BC and the height of the aircraft.

The Law of Cosines

What you’ll learn about

- Deriving the Law of Cosines
- Solving Triangles (SAS, SSS)
- Triangle Area and Heron’s Formula
- Applications
… and why

The Law of Cosines is an important extension of the

Pythagorean theorem, with many applications.

Deriving theLaw of Cosines

Example Solving a Triangle (SAS)

Example Solving a Triangle (SSS)

Example Using Heron’s Formula

Find the area of a triangle with sides 10, 12, 14.

Example Finding the Area of a Regular Circumscribed Polygon

Find the area of a regular nonagon (9-sided) circumscribed about a circle of radius 10 in.

Example Surveyor’s Problem

Tony must find the distance from point A to point B on opposite sides of a lake. He finds point C which is 860 ft from point A and 175 ft from point B. If he measures the angle at point C between points A and B as 78º, what is the distance between points A and B.

Homework

- Homework Assignment #1
- Review Section 5.6
- Page 494, Exercises: 1 – 53 (EOO)

What you’ll learn about

- Two-Dimensional Vectors
- Vector Operations
- Unit Vectors
- Direction Angles
- Applications of Vectors
… and why

These topics are important in many real-world applications, such

as calculating the effect of the wind on an airplane’s path.

Example Finding Magnitude of a Vector

Example Performing Vector Operations

Example Finding a Unit Vector

Example Finding the Components of a Vector

Example Finding the Direction Angle of a Vector

Velocity and Speed

The velocity of a moving object is a vector

because velocity has both magnitude and

direction. The magnitude of velocity is speed.

Example Writing Velocity as a Vector

Example Calculating the Effects of Wind Velocity

Example Finding the Direction and Magnitude of the Resultant Force

Download Presentation

Connecting to Server..