9.6 Solving Right Triangles Unit IIC Day 7. Do Now Find the value of x.

Slides:



Advertisements
Similar presentations
“Real-World” Trig Problems You can draw your triangle either way: Angle of Depression = Angle of Elevation.
Advertisements

+ Section 4-1: Right Triangle Trigonometry and Section 4-2: Degrees and Radians Tuesday, November 11 th.
GOAL 1 PROPORTIONS IN RIGHT TRIANGLES EXAMPLE Similar Right Triangles THEOREM 9.1 If the altitude is drawn to the hypotenuse of a right triangle,
Angles of Elevation / Depression
8-4 Angles of Elevation and Depression Objective: To use angles of elevation and depression to solve problems Essential Understanding : You can use the.
9.6 Solving Right Triangles Inverse of the trigonometric functions.
9.6 Use Trig Ratios to Solve Word Problems
Trigonometry Review.
How do I use Trigonometry to solve word problems?
Intro screen.
Chapter 7.5 Notes: Apply the Tangent Ratio Goal: To use the tangent ratio to determine side lengths in triangles.
2-24 Honors Geometry Warm-up
Short Leg:Long Leg:Hypotenuse Right Triangle This is our reference triangle for the triangle. We will use a reference triangle.
GEOMETRY: Chapter Solve Right Triangles.
Warm up: Solve for x 18 ◦ 1.) x 124 ◦ 70 ◦ x 2.) 3.) x 260 ◦ 20 ◦ 110 ◦ x 4.)
A A person is standing at point A cheering on his favorite team. Round to nearest tenth. a)Find the height CD of the bleachers. b)Find the height of the.
8-4 Angles of Elevation and Depression
Warm-Up: For the right triangle ABC shown below, find the values of b and c. Hint: Hint: Think about the side you know, the side you want to find out,
Objectives: Evaluate trigonometric functions of acute angles Solve right triangles Use trigonometric functions to model and solve real-life problems.
WARM UP: What is the sine, cosine, and tangent ratios for <B?
The angle of elevation of an antenna is 43 0 as shown in the diagram. a.If the distance along the base is 36 feet, estimate the height of the antenna.
9.6 Solving Right Triangles
When solving a right triangle, we will use the sine, cosine, and tangent functions, rather than their reciprocals.
Geometry Sources: Discovering Geometry (2008) by Michael Serra Geometry (2007) by Ron Larson.
Trig Test Review 2. 45°-45°-90° 30°-60°-90°
Right Triangle Trigonometry
And each angle.
9.4 The Tangent Ratio. The Tangent Ratio Example 1: Finding Tangent Ratios Find tan R and tan S. Write as a fraction and a decimal rounded to 4 places.
Chapter 5 Trigonometric Functions Copyright © 2014, 2010, 2007 Pearson Education, Inc Applications of Trigonometric Functions.
Section 4.1 Right Triangle Trigonometry. Find values of trigonometric functions for acute angles of right triangles. Solve right triangles. Mastery Objectives.
Applications of Trig Functions. Angle of Elevation: the angle from the line of sight and upwards. Angle of Elevation Angle of Depression: the angle from.
For each problem: Draw a diagram representing the situation, write the equation used to solve the problem, then solve. 1. A 20-ft. wire supporting a flagpole.
Section 9.5: Trigonometric Ratios. trigonometric ratio – a ratio of the lengths of two sides of a right triangle. The three basic trigonometric ratios.
Topic 8 Goals and common core standards Ms. Helgeson
GPS Pre-Calculus Keeper 10
Right Triangle Trigonometry 4.8
10.3 Solving Right Triangles
8-5 Angles of Elevation and Depression
Rounding Decimals.
Aim: What is trigonometric function?
Unit 3: Right Triangles and Trigonometry
Section 4.7: Law of Sines and Law of Cosines
Agenda 2/25/13 1) Bell Work 2) Outcomes
Trigonometry QUIZ next class (Friday)
Inverse Trigonometric Functions
8-3 Solving Right Triangles
Unit 7 Right Triangles Grade: 10 Subject: Geometry Date: 1/10/12.
Using Similar Figures to Find Missing Lengths
Right Triangle Trigonometry
Use a calculator to find tan 54°.
Hypotenuse hypotenuse opposite opposite adjacent adjacent.
Volume of Prisms and Pyramids
8-5B The Law of Cosines Geometry.
Using Similar Figures to Find Missing Lengths
Geometry Unit 3 Jeopardy
Recapping: Congruent triangles
Lesson 7.7, For use with pages
Right Triangle Trigonometry
You will need: unit circle
GPS Pre-Calculus Keeper 10
Warm Up Solve for the unknown:.
Geometry Unit 3 Jeopardy
Copyright © 2014, 2010, 2007 Pearson Education, Inc.
Trig Problems – Problem Solving
Right Triangle Trigonometry
Solve for the leg and round the nearest tenth.
Volume of Prisms and Pyramids
Right Triangles and Trigonometry
Angles of Elevation and Depression
Presentation transcript:

9.6 Solving Right Triangles Unit IIC Day 7

Do Now Find the value of x.

Ex. 1 Solve the right triangle. Round decimals to the nearest tenth.

Ex. 2 Solve the right triangle. Round decimals to the nearest tenth.

Ex. 3 During a flight, a hot air balloon is observed by two persons standing at points A and B. a) The angle of elevation of point A is 28°. Point A is 1.8 miles from the balloon as measured along the ground. What is the height, h, of the balloon? Round to three decimal places. b) Point B is 2.8 miles from point A. Find the angle of elevation of point B. Round to one decimal place.

Ex. 4 The angle of elevation of an antenna is 43°. a) If the distance along the ground is 36 feet, find the height of the antenna.

Ex. 4A The angle of elevation of an antenna is 43° as shown in the diagram. b) Support wires are attached to the antenna as shown with an angle of elevation of 29°. Find the distance d from the bottom of the antenna to the point where the wires are attached.

Closure Explain what is meant by solving a right triangle.