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Geometry Pre-AP
Section 6.1 – Trig Ratios
Name
Write each trigonometric ratio as a fraction and as a decimal rounded to the nearest hundredth.
1. cos D
2. tan F
3. sin F
Use special right triangles to write each trigonometric ratio as a fraction.
4. tan 60o
5. sin 30o
6. cos 45o
Use your calculator to find each trigonometric ratio. Round to the nearest hundredth.
7. sin 80o
8. tan 14o
9. cos 48o
Find each length. Round to the nearest hundredth.
10.
11.
12.
14.
13.
15.
Use special right triangles to complete each statement.
16. An angle that measures
has a tangent of 1.
17. For a 45o angle, the
and
18. The sine of a
ratios are equal.
angle is 0.5.
19. The cosine of a 300 angle is equal to the sine of a
angle.
20. According to the Occupational Safety and Health Administration (OSHA), a ladder that is placed agains a wall should
make a 75.50 angle with the ground for optimal safety. To the nearest tenth of a foot, what is the maximum height that
a 10-ft ladder can safely reach?
Find the indicated length in each rectangle. Round to the nearest tenth.
21.
22.
Find the perimeter and area of each triangle. Round to the nearest hundredth.
23.
24.
Find the value of x. Then find AB, BC, and AC. Found each to the nearest unit.
25.