Trigonometry and Navigation Concepts

This video tutorial covers the application of right triangle trigonometry in solving real-world problems. It explains the concepts of angles of elevation and depression, and how bearings are used in navigation. The video includes two problem-solving examples: calculating the height of a flag pole using trigonometry and determining the distance traveled by a ship using bearings. The tutorial emphasizes the importance of understanding angles and directions in trigonometry.

What is the primary goal of using right triangle trigonometry in this video?

• To measure angles in a circle

• To find distances using angles

• To calculate the area of triangles

• To solve algebraic equations

Tags

CCSS.8.G.A.3

How are bearings typically measured in navigation?

• From the center of the earth

• Clockwise from due north

• Counterclockwise from the east

• From due south

Tags

CCSS.8.G.A.3

If a bearing is given as 210 degrees, which of the following is an equivalent way to express it?

• North, 30 degrees east

• West, 30 degrees south

• South, 30 degrees west

• East, 30 degrees north

Tags

CCSS.HSG.SRT.C.8

What is the angle of elevation used in the flagpole problem?

• 50 degrees, 30 minutes

• 30 degrees, 45 minutes

• 45 degrees, 48 minutes

• 60 degrees, 15 minutes

Tags

CCSS.2.MD.A.1

How far is Juan standing from the flagpole in the problem?

• 50 feet

• 125 feet

• 75 feet

• 100 feet

Tags

CCSS.2.MD.B.5

What is the total height of the flagpole after adding Juan's line of sight height?

• 115.75 feet

• 110.5 feet

• 108.33 feet

• 102.83 feet

Tags

CCSS.2.MD.B.5

What is the initial bearing of the ship in the problem?

• 117 degrees

• 90 degrees

• 27 degrees

• 180 degrees

Tags

CCSS.HSG.SRT.C.8

How far does the ship travel on its second bearing?

• 55 kilometers

• 100 kilometers

• 120 kilometers

• 150 kilometers

Tags

CCSS.HSG.SRT.D.10

CCSS.HSG.SRT.D.11

What theorem is used to find the distance from the starting point to the ending point in the ship problem?

• Pythagorean Theorem

• Cosine Rule

• Sine Rule

• Law of Tangents

Tags

CCSS.HSG.SRT.C.8

What is the approximate distance traveled by the ship from the starting point to the ending point?

• 110 kilometers

• 150 kilometers

• 100 kilometers

• 132 kilometers

Tags

CCSS.HSG.SRT.C.8