20 30 40 50 10 20 30 40 50 10 20 30 40 50 10 20 30 40 50 10 20 30 40 50 10SineCosineTangentPythagoreanTheorem Mixed Word Problems(Regents)

Slides:

Advertisements

Similar presentations

Jeopardy Trig ratios Finding a missing side Finding a missing angle Sec, csc, and cot Word Problems

Advertisements

Right Triangle Trigonometry

Jeopardy Pythagor- who? What’s your angle? Today’s Special What’s your sine? Word Q $100 Q $200 Q $300 Q $400 Q $500 Q $100 Q $200 Q $300 Q $400 Q $500.

Applications Using Trigonometry Angles of Elevation and Depression.

Jeopardy Trig fractions Solving For Angles Solving for Sides Words are Problems?! Other Right Stuff $100 $200 $300 $400 $500 $100 $200 $300 $400 $500.

Subject: Analytic Geometry Unit 2

Pythagorean Theorem, Distance Formula and Midpoint Formula.

Unit 2 Review Questions.

Review Homework.

Section 1 – Simplify the following radicals. 1.) 2.) 3.) 4.) 5.) 6.) 7.) 8.) 9.) Geometry/Trig 2Name: ____________________________________ Chapter 8 Exam.

1. A man flies a kite with a 100 foot string

 In a right triangle, the trigonometric ratios are as follows:  A way to help remember this is: › SOH-CAH-TOA.

Jeopardy Word Trig Q $100 Q $100 Q $100 Q $100 Q $100 Q $200 Q $200

How do I use Trigonometry to solve word problems?

$100 $200 $300 $400 $500 $100 $200 $300 $400 $500 $100 $200 $300 $400 $500 $100 $200 $300 $400 $500 $100 $200 $300 $400 $500 $100 $200.

The Basics State the RatioSidesAnglesReal-Life

Chapter 2 Trigonometry. § 2.1 The Tangent Ratio TOA x Hypotenuse (h) Opposite (o) Adjacent (a) x Hypotenuse (h) Opposite (o) Adjacent (a) Hypotenuse.

Mystery Trig Inverse Trig Laws Cos & Sin Trig Word Problems

Geometry tan A === opposite adjacent BC AC tan B === opposite adjacent AC BC Write the tangent ratios for A and B. Lesson 8-3 The Tangent Ratio.

Application problems.

200 $200 $300 $400 $500 $100 $200 $300 $400 $500 $100 $200 $300 $400 $500 $100 $200 $300 $400 $500 $100 $200 $300 $400 $500 $100 PythagorasSpecialRightTriangles.

CCII Unit 5 Warm-Ups. Warm-Ups (Monday 11/17) a) Describe the transformation from the parent graph b) Domain:c) Range: d) Vertex:e) Axis of Symmetry:

Warm up r = -3 k = -3 x = – 6r = 2r k – 5 = 7k + 7

Warmup Find the lengths of the sides marked with a variable in each problem below. Show work! 48 y x 42 x y  y.

The Distance Formula & Pythagorean Theorem Day 90 Learning Target : Students can find the distance between 2 points using the distance formula.

Objective - To find missing sides of right triangles using the Pythagorean Theorem. Applies to Right Triangles Only! hypotenuse c leg a b leg.

1.A 24 foot ladder is leaning against a 18ft wall. Find the angle of elevation from the base of the ladder to the top of the wall. 2. A boat has drifted.

Trig Test Review 2. 45°-45°-90° 30°-60°-90°

TRIG. DefinitionsMissing Angle/Side Looking UP Looking DOWN

1.A ladder is leaning against a wall. The top of the ladder is 15ft up the wall. If the angle between the base of the ladder and the ground is 43 degrees,

Ch 8 Review Questions. Pythagorean Theorem Find the missing side 15 x 30.

Warm up Solve – 6r = 2r k – 5 = 7k (x + 4) = 6x r = -3 k = -3 x = 2.

BELLWORK Find all side lengths and angle measures. Round lengths to the nearest hundredth and angle measures to the nearest tenth. 35° L M K 12 50° 125.

Similar Triangles Application

Geometry – Unit 8 $100 Special Right Triangles Sine, Cosine, &Tangent Elevation & Depression Wild Card! $200 $300 $400 $500 $100 $200 $300 $400 $500.

Integrated Algebra 2 or 3 Players. The first player chooses the question by clicking on it. The first player to answer correctly gets the points. Make.

TRIGONOMETRIC RATIOS The Trigonometric Functions we will be looking at SINE COSINE TANGENT.

Solving Equations with Trig Functions. Labeling a right triangle A.

Solve for the missing side length.. A forest ranger spots a fire from the top of a look-out tower. The tower is 160 feet tall and the angle of depression.

Warm up Find the missing side.. Daily Check Review Homework.

$1 Million $500,000 $250,000 $125,000 $64,000 $32,000 $16,000 $8,000 $4,000 $2,000 $1,000 $500 $300 $200 $100 Welcome.

Warm up Solve – 6r = 2r k – 5 = 7k (x + 4) = 6x r = -3 k = -3 x = 2.

Warm up Solve – 6r = 2r k – 5 = 7k (x + 4) = 6x r = -3 k = -3 x = 2.

trigonometric functions sine cosine tangent cosecant secant cotangent

Angles of Elevation & Angles of Depression

Find the missing angle measure

Right Triangle Trig Jeopardy!

Warm Up Find the missing side length Find the missing angle 55°

Warm Up Find the missing side length Find the missing angle.

Objective - To find missing sides of right triangles using the Pythagorean Theorem. Applies to Right Triangles Only! hypotenuse c leg a b leg.

Geometry Unit 3 Jeopardy

Secondary Math II 9.5 Applications.

Warm-Up Where would the following words go in this right triangle?

Trig Ratios C 5 2 A M Don’t forget the Pythagorean Theorem

Pythagorean Theorem.

Pythagorean Theorem.

Pythagorean Theorem.

The Distance Formula & Pythagorean Theorem

Geometry Unit 3 Jeopardy

Law of Sines and Cosines

Pythagorean Theorem OR.

Right Triangle Trigonometry

Trig Ratios and Word Problems

Trigonometry Word Problems

Geometric Mean Proportions & Pythagorean Theorem

Pythagorean Theorem.

Pythagorean Theorem.

Chapter 8 Review Name:_______________ Hour: _______ GEOMETRY

Presentation transcript:

SineCosineTangentPythagoreanTheorem Mixed Word Problems(Regents)

What is the ratio for the sine of an angle? Return to Question Board See Answer 10 points

A N S W E R: Return to Question Board 10 points

Find the value of x to the nearest hundredth: Return to Question Board 20 points See Answer

A N S W E R: Return to Question Board 20 points

Find the measurement of angle x Return to Question Board 30 points See Answer

A N S W E R: Return to Question Board 30 points

A ladder 10 feet long is leaning against a house making an angle of with the ground. Find to the nearest tenth of a foot how high up the house the ladder reaches? Return to Question Board 40 points See Answer

A N S W E R: Return to Question Board 40 points 9.5 feet

Return to Question Board 50 points See Answer An airplane is flying at an altitude of 3000 ft. The angle of depression of the airport ground signal Measures. Find to the nearest foot the distance Between the airplane and the airport signal.

A N S W E R: Return to Question Board 50 points 6,608 feet

Return to Question Board 10 points See Answer What is the ratio for the cosine of an angle?

A N S W E R: Return to Question Board 10 points

Return to Question Board 20 points See Answer Find the value of x to the nearest whole number 30cm x

A N S W E R: Return to Question Board 20 points X=24

Return to Question Board 30 points See Answer 8’ 10’ Find the value of x to the nearest tenth of a degree

A N S W E R: Return to Question Board 30 points

A wire 3 meters in length, is attached from the top of a post to a stake in the ground. The wire makes a angle with the ground. To the nearest hundredth of a meter, find the distance from the wire on the ground to the post. Return to Question Board 40 points See Answer

A N S W E R: Return to Question Board 40 points

A child's slide is 9 meters long and is built over a horizontal distance of 6 meters along the ground. Find to the nearest degree the measure of the angle that the slide makes with the ground. Return to Question Board 50 points See Answer

A N S W E R: Return to Question Board 50 points

Return to Question Board See Answer 10 points What is the ratio for the tangent of an angle?

A N S W E R: Return to Question Board 10 points

Return to Question Board See Answer 20 points Find the value of x: x

A N S W E R: Return to Question Board 20 points X=12

Find the measure of x to the nearest degree. Return to Question Board See Answer 30 points 4 14

A N S W E R: Return to Question Board 30 points

Return to Question Board See Answer 40 points At a point on the ground 50 meters from the foot of a tree, the measure of the angle of elevation of the top of the tree is. Find the height of the tree to the nearest meter.

A N S W E R: Return to Question Board 40 points 56 meters

Find to the nearest degree the measure of the angle of elevation of the sun when a woman 5foot tall cast a 3 foot shadow Return to Question Board See Answer 50 points

A N S W E R: Return to Question Board 50 points

What is the Pythagorean theorem and when is it used? Return to Question Board See Answer 10 points

A N S W E R: Return to Question Board 10 points The Pythagorean theorem is and it is used to find side lengths of a right triangle.

Find x: Return to Question Board See Answer 20 points 6 6 x

A N S W E R: Return to Question Board 20 points

Return to Question Board See Answer 30 points The lengths of the sides of a triangle are 8, 15, and 17. Is this a right triangle?

A N S W E R: Return to Question Board 30 points Yes

If the length of the diagonal of a rectangle is 26 in and the length of its base is 24 in, find the length of the altitude of the rectangle. Return to Question Board See Answer 40 points

A N S W E R: Return to Question Board 40 points X=10

The length of a rectangle is 7 feet more then its width. A diagonal of a rectangle measures 17 meters. Find the length and width of rectangle. Return to Question Board See Answer 50 points

A N S W E R: Return to Question Board 50 points Width = 8, Length = 15

The accompanying diagram shows a kite that has been secured to a stake in the ground with a 20-foot string. The kite is located 12 feet from the ground, directly over point X. What is the distance, in feet, between the stake and point X? Return to Question Board See Answer 10 points

A N S W E R: Return to Question Board 10 points 16 feet

Find, to the nearest tenth of a foot, the height of the tree represented in the accompanying diagram. Return to Question Board 20 points See Answer

A N S W E R: Return to Question Board 20 points X= 28.2

An airplane is climbing at an angle of 11° with the ground. Find, to the nearest foot, the distance the airplane has traveled when it has attained an altitude of 400 feet. Return to Question Board 30 points See Answer

A N S W E R: Return to Question Board 30 points The plane has gone 2,096 ft.

A 10-foot ladder is to be placed against the side of a building. The base of the ladder must be placed at an angle of 72° with the level ground for a secure footing. Find, to the nearest tenth of a foot, how far the base of the ladder should be from the side of the building Return to Question Board See Answer 40 points

A N S W E R: Return to Question Board 40 points 3.1 feet

Return to Question Board See Answer 50 points The accompanying diagram shows a flagpole that stands on level ground. Two cables r & s are attached to the pole at a point 16 feet Above the ground. The combined length of the two cables is 50 feet. If cable r is attached to the ground 12 feet from the base of the pole, what is the angle, x, to the nearest degree, that the cable s makes with the ground?

A N S W E R: Return to Question Board 50 points