Download 13.1 Right Triangle Trigonometry 1 Lesson Objectives: • Define the

13.1 Right Triangle Trigonometry 1 Got questions? Write them here. Lesson Objectives: • Define the six trigonometric functions • Solve a right triangle • Apply right triangle trigonometry to solve problems Relationships of Angles and Sides B A Θ C Six Trigonometric Ratios B Trig Function sinΘ cosΘ Θ C tanΘ A cscΘ What is the pneumonic device that helps you remember the trig ratios? secΘ tanΘ Ratio Determine the Trig Rations for an Angle – Given Two Sides of a Triangle sin θ =
cosθ =
tan θ =
cscθ =
secθ =
cot θ =
15 8 Θ Determine the Trig Rations for an Angle – Given One Trig Ratio 24
Directions: Given that sin θ =
, determine the values of the other five 25
trigonometric ratios. Trigonometric Values for Special Angles Θ sin Θ cos Θ tan Θ csc Θ sec Θ cot Θ 30° 45° 60° “Solving” a Triangle Directions: Find the missing measures of the triangle. B m∠A = _____ a = _____ 60° c = _____ A 3 C What’s the Height of the Flagpole? The angle of elevation from the level ground to the top of a flagpole is 48°, when measured from a distance of 40 feet. Determine the height of the flagpole to the to nearest foot. 13.1 Right Triangle Trigonometry 3 Applications 1) You are flying in your private jet and notice that there is a town off in the distance. You quickly grab your handy secant and measure your angle of depression to be 50. The plane’s navigation system states that you are at a vertical height of 20,000 feet. What is the distance (d) from your plane to the town (round to the nearest mile)? What is the ground distance (g) from your plane to the town (round to the nearest mile)? [NOTE: 5280 ft = 1 mile] 50° d g TOWN 2) Igor’s pet bat Natasha is flying at the end of a 50-­‐foot leash that is anchored to the ground. Using an angle measuring device, Igor spots Natasha at an angle of 55° from the horizontal. To the nearest foot, how high is Natasha flying? 
ID: 1
Algebra 2 - Unit 13
Name___________________________________
13.1 Right Triangle Trigonometry - Practice
Date________________ Period____
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Find the value of the trig function indicated.
1) sin 
2) cos 





 
3) tan 
4) csc 

 


5) sec 

6) cot 





 
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-1-

Worksheet by Kuta Software LLC

Solve each triangle. Round answers to the nearest tenth.
7)
8)
C
3
51°
B
A
11
26°
C
B
A
9)
A
9
48°
C
B
The given angle  is an acute angle of a right triangle. One trigonometric ratio is given. Find the values of
the other five trigonometric functions of  .
10) cos  


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11) cot  
-2-


Worksheet by Kuta Software LLC