A Quiz is Thursday Covers the Law of Sines It will contain some word problems, an area question, and the ambiguous case question. We are going to.

A Quiz is Thursday Covers the Law of Sines It will contain some word problems, an area

question, and the ambiguous case question. We are going to practice getting the pictures for

the word problems today, that way tomorrow will be the SECOND time you will have to draw them.

This power point is also available on the WIKI

Test PRACTICE:Question 1

The angle of elevation to a man on a telephone pole is 34 degrees from a spot on the ground 150 feet away from base of the pole. The angle of elevation to the top of the pole is 50 degrees. Find the distance from the man to the top of the pole.

Solutions

Solution: around 77 (distance man to top of pole)

Find the area of the triangle.

13

9

21

Solution

Area 20.9645

Find the area of the triangle

If the three sides are 4, 7, and 5

Solution

• Area (use Heron’s or AREA SSS)• 9.797

*TRICKY ONE!

Find the height!

810

13

• Solution• Height = 6.907

Question 3

At a certain distance, the angle of elevation to the top of a building is 60º. From 40 feet further back, the angle of elevation is 45º . Find the height of the building.

Solutions question 3

94.64

NavigationA plane flies 1200 miles with a bearing of N 52W from City A to City B. Then the plane flies 800 miles from City B to City C with a bearing of S 20. Find the distance from City A to City C. (city C is due West of City A)

Navigation solution

1169.52

How many solutions (0, 1, or 2) will the triangle have IF . . . .

b9

21

b = 2 ____b = 3 ____b = 4 ____b = 9 _____b = 13 ____

solutions

Height is 3.22

00211

Find the TWO solutions for angle A

59

21 A

Two solutions

A = 40.17A = 180 – 40.17 = 139. 83