Find the missing side. Round to the nearest tenth.

Slides:

Advertisements

Similar presentations

Warm – up: Find the missing measures. Write all answers in radical form. 60° 30° 10 y z 3 45 y x 45.

Advertisements

Questions from Homework??

Designed by: Emily Freeman McEachern High School 2400 New Macland Rd Powder Springs, GA

Introduction to Trigonometry This section presents the 3 basic trigonometric ratios sine, cosine, and tangent. The concept of similar triangles and the.

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

4.3 Right Triangle Trigonometry

SOLVING RIGHT TRIANGLES Using your definitions to solve “real world” problems.

Right Triangle Trigonometry. Objectives Find trigonometric ratios using right triangles. Use trigonometric ratios to find angle measures in right triangles.

7.5 Values of Trig Functions. Trig Values for Non-special Angles Use calculator to find value & round to 4 digits * make sure calc is in DEG mode * angle.

Use Pythagorean Theorem: x = = 12.7 rounded This is a Triangle: ON A SHEET OF PAPER.

1 Right Triangle Trigonometry.. opposite hypotenuse adjacent hypotenuse adjacent opposite reference angle Anatomy of a Right Triangle.

Chapter 7.5 Notes: Apply the Tangent Ratio Goal: To use the tangent ratio to determine side lengths in triangles.

4.3 Right Triangle Trigonometry

Finding an angle. (Figuring out which ratio to use and getting to use the 2 nd button and one of the trig buttons. These are the inverse functions.) 5.4.

Unit 8 – Right Triangle Trig Trigonometric Ratios in Right Triangles

Warm- Up 1. Find the sine, cosine and tangent of  A. 2. Find x. 12 x 51° A.

Right Triangle Trigonometry Pre-Calculus Lesson 4.3.

Warm – up: Find the missing measures. Write all answers in radical form. 45° x w 7 60° 30° 10 y z.

1. If sin  = 5/12, then find cos (90 –  ). (Hint draw a picture, label it, then simplify your fraction answer.) 2. If tan  = 3/7, then find tan (90.

4.3 Right Triangle Trigonometry

Trigonometric Identities

Right Triangle Trig: Finding a Missing Angle. Finding an angle. (Figuring out which ratio to use and getting to use the 2 nd button and one of the trig.

Find the missing measures. Write all answers in radical form. 45° x w 7 60° 30° 10 y z.

A C M 5 2. CCGPS Geometry Day 17 ( ) UNIT QUESTION: What patterns can I find in right triangles? Standard: MCC9-12.G.SRT.6-8 Today’s Question: How.

Trig Ratios C 5 2 A M 4. If C = 20º, then cos C is equal to:

SOH-CAH-TOA???? What does the abbreviation above stand for????

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

A C M If C = 20º, then cos C is equal to: A. sin 70 B. cos 70 C. tan 70.

4.3 Right Triangle Trigonometry Right Triangle Trig Our second look at the trigonometric functions is from a ___________________ ___________________.

Right Triangle Trigonometry Identify the parts of a right triangle hypotenuse opposite adjacent an acute angle in the triangle ''theta'' θ.

9.2 Notes: Solving Right Triangles

Breakout Session #2 Right Triangle Trigonometry

Designed by: Mr. McMinn’s wife

Lesson 4.3 Our second approach to trigonometry is from a right triangle perspective…

SinΘ--Cos Θ--Tan Θ.

Warm – up: Find the missing measures. Write all answers in radical form. 30° 45° x 7 10 z 45° w 60° y.

Right Triangle Trigonometry

Warm – up: Find the missing measures. Write all answers in radical form. 30° 45° x 7 10 z 45° w 60° y.

Right Triangle Trigonometry

Find the missing measures. Write all answers in radical form.

Warm-Up #32 Tuesday, 5/10/2016 Solve for x and find all of the missing angles. In triangle JKL, JK=15, JM = 5, LK = 13, and PK = 9. Determine whether.

Warm – up: Find the missing measures. Write all answers in radical form. 30° 45° x 7 10 z 45° w 60° y.

Right Triangle Trigonometry

The Trigonometric Functions we will be looking at

The Trigonometric Functions we will be looking at

Right Triangle Trigonometry (Section 4-3)

Trig Ratios C 5 2 A M 4. If C = 20º, then cos C is equal to:

Trig Ratios C 5 2 A M 4. If C = 20º, then cos C is equal to:

Session 17 Warm – up: Find the missing measures. Write all answers in radical form. 30° 45° x 7 10 z 45° w 60° y.

Lesson 15: Trigonometric Ratios

Designed by: Emily Freeman McEachern High School 2400 New Macland Rd Powder Springs, GA

Warm-up Find the height of the building and the depth of the anchor.

Do Now Find the ratios for sin A, cos A, and tan A. Make sure you simplify as much as possible 2. Find the ratios for sin C, cos C, and tan C. Make sure.

Some Old Hippie Came A Hoppin’ Through Our Old Hippie Apartment.

Soh Cah Toa Review Ms. J. Blackwell, nbct

Warm-up: Find the tan 5

Trig Ratios C 5 2 A M 4. If C = 20º, then cos C is equal to:

Trig Ratios C 5 2 A M 4. If C = 20º, then cos C is equal to:

Trig Ratios C 5 2 A M 4. If C = 20º, then cos C is equal to:

Warm – up Find the sine, cosine and tangent of angle c.

Designed by: Emily Freeman McEachern High School 2400 New Macland Rd Powder Springs, GA

Find the missing measures. Write all answers in radical form.

Hypotenuse hypotenuse opposite opposite adjacent adjacent.

The Trigonometric Functions we will be looking at

Solving For Angles & Real World Data

Session 17 Warm – up: Find the missing measures. Write all answers in radical form. 30° 45° x 7 10 z 45° w 60° y.

Trig Ratios C 5 2 A M 4. If C = 20º, then cos C is equal to:

The Trigonometric Functions we will be looking at

Presentation transcript:

Find the missing side. Round to the nearest tenth. x Awesome!

Find the missing side. Round to the nearest tenth. 20 ft x Great Work!

A person is 200 yards from a river A person is 200 yards from a river. Rather than walk directly to the river, the person walks along a straight path to the river’s edge at a 60° angle. How far must the person walk to reach the river’s edge? cos 60° x (cos 60°) = 200 200 60° x x X = 400 yards WOW !!

x 116 m Amazing Work!

Ex: 5 A surveyor is standing 50 feet from the base of a large tree. The surveyor measures the angle of elevation to the top of the tree as 71.5°. How tall is the tree? tan 71.5° ? tan 71.5° 71.5° y = 50 (tan 71.5°) 50 y = 50 (2.98868)

When we are trying to find a side we use sin, cos, or tan. When we are trying to find an angle we use sin-1, cos-1, or tan-1.

Ex. 3: Find . Round to three decimal places. 200 Use the inverse button!!! 400 Make sure you are in degree mode (not radian).