And each angle.

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Presentation transcript:

and each angle

Chapter 9.5: Using Trigonometric Ratios in Real Life Students will apply the use of sine, cosine, and tangent to real life situations.

angle of depression: angle of elevation: the angle between the horizontal and the line of sight angle of elevation: The angle looking above the horizontal line to the tip of the image Angle of depression Angle of Elevation

The top of a lighthouse is 120 meters above sea level The top of a lighthouse is 120 meters above sea level. The angle of depression from the top of lighthouse to a passing boat is 25o. How many meters from the foot of the lighthouse is the boat? 25o

Example 1: You are measuring the height of a Sitka spruce tree in Alaska. You stand 45 feet from the base of the tree. You measure the angle of elevation from a point on the ground to the top of the tree to be 590. About 75 ft

What is the height h of the balloon? During the flight, a hot air balloon is observed by two persons standing at points A and B as illustrated in the diagram. The angle of elevation of point A is 280. Point A is 1.8 miles from the balloon as measured along the ground. What is the height h of the balloon? Point B is 2.8 miles from point A. Find the angle of elevation of point B. h B A 0.96 mi 43.8 degrees