Right Triangle Trigonometry SOH CAH TOA - cicltnet
Trigonometry SOH CAH TOA Trigonometric Ratios A ratio of the lengths of two sides of a right triangle is called a trigonometric ratio The
TRIGONOMETRY - Becket Keys
SOH CAH TOA (MIXED UP) 4 1 cm 35º 2 8 cm K L 63º 7 1 cm 7 1 cm L K J K L J L L J K L K K J L J J L J K L K J K L K 4 9 cm 17 2 m 12 5 cm 2 1 cm 15 6 cm 8 1 cm 87 mm 16 7 cm 11 1 cm 5 9 cm 1 2 cm 9 8 cm 37 cm 2 1 cm 55º 64º 31º 34º 59º 65º 26º xº xº xº xº 28º SOH CAH TOA (MIXED UP) 35º 2 8 cm K J L
Pythag Theorem & SOH CAH TOA - Math with Mr Yu
Setting up Trigonometry Ratios and Solving for Angles i Select a givenangle (NOT the right angle) ii Label your sides (Opposite, Adjacent, Hypotenuse) iii Decide which trig function you can use: SOR if we have the opposite and hypotenuse CAR if we have the adjacent and the hypotenuse TOA if we have the opposite and the adjacent iv
Trigonometry – SOH CAH TOA
The side 44 and i2S kiloznegers, as Wbat the of of 3 43 For the triangle shown below, what is the value of tan Z ? 44 The sides of a right triangle measure 20 cm, 21 cm,
SOH CAH TOA - Weebly
SOH CAH TOA Example 1: In trigonometry, the _____ can be used to find missing parts of triangles that are _____ triangles Discovery for Solving Oblique
GETTIN TRIGGY WIT IT SOH CAH TOA
SOH CAH TOA Find the following ratios using the given right triangles 1 2 Use your calculator to evaluate each of the following Round each to four decimal places 3 sin 63 °°4 cos 24 5 tan 86 6 tan 42 ° Use the tangent ratio to find the variable 7 8 9 Use the sine ratio to find the variable 10 11 12
SOH CAH TOA
Trigonometry Ratio – is a ratio that compares the side lengths of two sides of a triangle Sine Ratio – the ratio of the leg opposite to the hypotenuse in relationship to an acute angle in a right triangle (SOH) Cosine Ratio - the ratio of the leg adjacent to the hypotenuse in relationship to an acute angle in a right triangle (CAH)
B SOH CAH TOA - Henry County Public Schools
Right Triangle Trigonometry SOHCAHTOA and Pythagorean Thm Given a right triangle and an acute angle θ, you can find the 6 trigonometric ratios θ A B C adj hyp opp SOH CAH TOA sin θ cos θ tan θ csc θ sec θ cot θ B cosecant, secant, and cotangent are reciprocal functions because
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Right Triangle
Trigonometry
SOH CAH TOA
Trigonometric Ratios
A ratio of the lengths of two sides of a right
triangle is called a trigonometric ratio. The three most common ratios are sine, cosine, and tangent. hypotenuse A CB c a bSin A =Cos A =
tan A =side opp. We can also set up the same ratios with the other acute angle.One way to remember these formulas is:
SOH CAH TOA
**You must always remember to check your calculator. It needs to be in degree mode in order to calculate the answers correctly. Some Of Her Children Are Having Trouble Over Algebra. Some Out-Houses Can Actually Have Totally OdorlessAromas.
She Offered Her Cat A Heaping Teaspoon Of Acid.
Soaring Over Haiti, Courageous Amelia Hit The Ocean And Tom's Old Aunt Sat On Her Chair And Hollered. -- (from AnnAzevedo)
Stamp Out Homework Carefully, As Having Teachers OmitAssignments.
Some Old Horse Caught Another Horse Taking Oats Away.Some Old Hippie Caught Another Hippie Tripping On
Apples.
School! Oh How Can Anyone Have Trouble Over
Academics.
Let's make sure we can use our calculator.
sin 48 tan 22cos 43 .7431.4040.7314 3 45Find: sin, cos, and tan for AND B C Key things to solve trig problems:
1) The calculator is in degree mode.
2) Remember the formulas:
sin = cos = tan= 3) When you are looking for a side measure:
use sin, cos, and tan buttons on the calculator.opp hypadj hypopp adj Every right triangle has one right angle,
two acute angles, one hypotenuse, and two legs. To solve a right triangle means to determine the measures of all six parts. You can solve a right triangle if you know
either of the following: Two side lengths
(to be discussed in Math IV) one side length & one acute angle measure Review: Pythagorean Theorem
810
b Begin by using the Pythagorean Theorem to find the length of the hypotenuse. Note: Round decimals to
the nearest hundredth AB C Solving a right triangle when you know one side length and one acute angle measure. TS R r 15 s 30
Note: Round decimals to
the nearest hundredth Use trigonometric ratios to find the values of r and s. sin R = opp hypadj hypcos R = sin 30 = cos 30 = r 15s 15 15 sin 30 =
r 15 cos 30
= s r 7.5 s 12.99 Because m15. The triangle has one right angle and two acute angles whose measures are 30 and 60 . Your turn:
Solve the following triangles. Round
decimals to the nearest hundredth. 30
4 zA B C X YZ y x 2 60
x Trig Word Problems
In order to solve trig word problems, follow
these steps: 1) draw a picture. (Right triangle)
2) Label the given parts.
3) Set up the trig ratios and solve.
angle of depression angle of elevation Using the rules with parallel lines and transversals, what can you conclude about the two angles and why? Examples:
1) A tree casts a shadow 21 m long. The angle of
elevation of the sun is 60. What is the height of the tree? 1) Draw a picture.
2) label
21m
60
x3) trig ratios: tan 60 = x21 2121
21tan60 = x
36.37 meters = x
Your turn
1) From the top of a tower, the angle of depression to a stake
on the ground is 60. The top of the tower is 80 feet above ground. How far is the stake from the foot of the tower? 2) A ladder leaning against a house makes an angle of 30
with the ground. The foot of th e ladder is 7 feet from the foot of the house. How long is the ladder? Assignment:
p. 161 (1-13) & p. 166 (1-13) (McDougal Littell Mathematics 2 Book)quotesdbs_dbs45.pdfusesText_45
AND B C Key things to solve trig problems:
1) The calculator is in degree mode.
2) Remember the formulas:
sin = cos = tan= 3) When you are looking for a side measure:
use sin, cos, and tan buttons on the calculator.opp hypadj hypopp adj Every right triangle has one right angle,
two acute angles, one hypotenuse, and two legs. To solve a right triangle means to determine the measures of all six parts. You can solve a right triangle if you know
either of the following: Two side lengths
(to be discussed in Math IV) one side length & one acute angle measure Review: Pythagorean Theorem
810
b Begin by using the Pythagorean Theorem to find the length of the hypotenuse. Note: Round decimals to
the nearest hundredth AB C Solving a right triangle when you know one side length and one acute angle measure. TS R r 15 s 30
Note: Round decimals to
the nearest hundredth Use trigonometric ratios to find the values of r and s. sin R = opp hypadj hypcos R = sin 30 = cos 30 = r 15s 15 15 sin 30 =
r 15 cos 30
= s r 7.5 s 12.99 Because m15. The triangle has one right angle and two acute angles whose measures are 30 and 60 . Your turn:
Solve the following triangles. Round
decimals to the nearest hundredth. 30
4 zA B C X YZ y x 2 60
x Trig Word Problems
In order to solve trig word problems, follow
these steps: 1) draw a picture. (Right triangle)
2) Label the given parts.
3) Set up the trig ratios and solve.
angle of depression angle of elevation Using the rules with parallel lines and transversals, what can you conclude about the two angles and why? Examples:
1) A tree casts a shadow 21 m long. The angle of
elevation of the sun is 60. What is the height of the tree? 1) Draw a picture.
2) label
21m
60
x3) trig ratios: tan 60 = x21 2121
21tan60 = x
36.37 meters = x
Your turn
1) From the top of a tower, the angle of depression to a stake
on the ground is 60. The top of the tower is 80 feet above ground. How far is the stake from the foot of the tower? 2) A ladder leaning against a house makes an angle of 30
with the ground. The foot of th e ladder is 7 feet from the foot of the house. How long is the ladder? Assignment:
p. 161 (1-13) & p. 166 (1-13) (McDougal Littell Mathematics 2 Book)quotesdbs_dbs45.pdfusesText_45
Key things to solve trig problems:
1) The calculator is in degree mode.
2) Remember the formulas:
sin = cos = tan=3) When you are looking for a side measure:
use sin, cos, and tan buttons on the calculator.opp hypadj hypopp adjEvery right triangle has one right angle,
two acute angles, one hypotenuse, and two legs. To solve a right triangle means to determine the measures of all six parts.You can solve a right triangle if you know
either of the following:Two side lengths
(to be discussed in Math IV) one side length & one acute angle measureReview: Pythagorean Theorem
810b Begin by using the Pythagorean Theorem to find the length of the hypotenuse.
Note: Round decimals to
the nearest hundredth AB C Solving a right triangle when you know one side length and one acute angle measure. TS R r 15 s 30Note: Round decimals to
the nearest hundredth Use trigonometric ratios to find the values of r and s. sin R = opp hypadj hypcos R = sin 30 = cos 30 = r 15s 1515 sin 30 =
r15 cos 30
= s r 7.5 s 12.99Because m15. The triangle has one right angle and two acute angles whose measures are 30 and 60 . Your turn:
Solve the following triangles. Round
decimals to the nearest hundredth. 30
4 zA B C X YZ y x 2 60
x Trig Word Problems
In order to solve trig word problems, follow
these steps: 1) draw a picture. (Right triangle)
2) Label the given parts.
3) Set up the trig ratios and solve.
angle of depression angle of elevation Using the rules with parallel lines and transversals, what can you conclude about the two angles and why? Examples:
1) A tree casts a shadow 21 m long. The angle of
elevation of the sun is 60. What is the height of the tree? 1) Draw a picture.
2) label
21m
60
x3) trig ratios: tan 60 = x21 2121
21tan60 = x
36.37 meters = x
Your turn
1) From the top of a tower, the angle of depression to a stake
on the ground is 60. The top of the tower is 80 feet above ground. How far is the stake from the foot of the tower? 2) A ladder leaning against a house makes an angle of 30
with the ground. The foot of th e ladder is 7 feet from the foot of the house. How long is the ladder? Assignment:
p. 161 (1-13) & p. 166 (1-13) (McDougal Littell Mathematics 2 Book)quotesdbs_dbs45.pdfusesText_45
Your turn:
Solve the following triangles. Round
decimals to the nearest hundredth. 304 zA B C X YZ y x 2 60
x
Trig Word Problems
In order to solve trig word problems, follow
these steps:1) draw a picture. (Right triangle)
2) Label the given parts.
3) Set up the trig ratios and solve.
angle of depression angle of elevation Using the rules with parallel lines and transversals, what can you conclude about the two angles and why?Examples:
1) A tree casts a shadow 21 m long. The angle of
elevation of the sun is 60. What is the height of the tree?1) Draw a picture.
2) label
21m60
x3) trig ratios: tan 60 = x21 2121