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Transcript
Name _______________________________________ Date __________________ Class __________________
LESSON
8-3
Practice A
Solving Right Triangles
In Exercises 1–3, fill in the blanks to complete the description of the
inverse trigonometric ratios.
1. If sin A  x, then sin1 x  ________.
2. If cos A  ________, then cos1 x  mA.
3. If tan A  x, then ________  mA.
Use the given trigonometric ratio to determine whether
1 or 2 is A in each exercise.
4. sin A 
4
________
5
5. cos A 
4
________
5
6. tan A 
3
________
4
7. sin A 
3
________
5
8. cos A 
3
________
5
9. tan A 
4
________
3
Use a calculator to find each angle measure to the nearest degree.
10. sin1 (0.33) ________
11. cos1 (0.47) ________
12. tan1 (1.21) ________
 9 
13. sin1   ________
 10 
 1
14. cos1  
5
 3
15. tan1  2  ________
 4
________
Use a calculator and inverse trigonometric ratios to find the unknown
side lengths and angle measures. Round lengths to the nearest
hundredth and angle measures to the nearest degree.
16.
17.
AC 
________
mB  ________
mC  ________
18.
DE  ________
EF 
________
mD  ________
GH  ________
mH  ________
mI  ________
XYZ has vertices X(6, 6), Y(6, 3), and Z(1, 3). Complete
Exercises 19–21 to find the side lengths to the nearest
hundredth and the angle measures to the nearest degree.
19. Plot the points and draw XYZ.
20. Tell which angle is the right angle. ________
21. Find XY and YZ from the graph. Use the
Pythagorean Theorem to find XZ.
XY  ________
YZ  ________
XZ  ________
Original content Copyright © by Holt McDougal. Additions and changes to the original content are the responsibility of the instructor.
8-19
Holt Geometry
Name _______________________________________ Date __________________ Class __________________
LESSON
8-3
Practice B
Solving Right Triangles
Use the given trigonometric ratio to determine which angle of the
triangle is A.
1. sin A 
8
________
17
2. cos A 
15
________
17
3. tan A 
15
________
8
4. sin A 
15
________
17
5. cos A 
8
________
17
6. tan A 
8
________
15
Use a calculator to find each angle measure to the nearest degree.
7. sin1 (0.82) ________
3
10. sin1  
8
________
 11 
8. cos1   ________
 12 
11. cos1 (0.23) ________
9. tan1 (5.03) ________
 1
12. tan1  
9
________
Find the unknown measures. Round lengths to the nearest hundredth
and angle measures to the nearest degree.
13.
14.
15.
________________________
________________________
________________________
________________________
________________________
________________________
16.
17.
18.
________________________
________________________
________________________
________________________
________________________
________________________
For each triangle, find all three side lengths to the nearest hundredth
and all three angle measures to the nearest degree.
19. B(2, 4), C(3, 3), D(2, 3)
________________________________________________________________________________________
20. L(1, 6), M(1, 6), N(1, 1)
________________________________________________________________________________________
21. X(4, 5), Y(3, 5), Z(3, 4)
________________________________________________________________________________________
Original content Copyright © by Holt McDougal. Additions and changes to the original content are the responsibility of the instructor.
8-20
Holt Geometry
Original content Copyright © by Holt McDougal. Additions and changes to the original content are the responsibility of the instructor.
A11
Holt Geometry