Algebra 1 - MathnMind

11-7
For each triangle, find sin T, cos T, and tan T to the nearest ten thousandth.
1.
24
X
Y
70
2. P
24
25
T
3.
C
8
16
B
Use a calculator to find the value of each trigonometric ratio to the nearest ten
thousandth.
4. sin 85° 5. cos 5° 6. tan 32.5°
Use a calculator to find the measure of each angle to the nearest degree.
7. sin D 0.5000 8. cos Q 0.1123 9. tan B 4.7465
For each triangle, find the measure of the indicated angle to the nearest degree.
10. 13
11. 12.
Solve each right triangle. State the side lengths to the nearest tenth and the angle
measures to the nearest degree.
13. C B
14. A
15. B C
A
NAME ______________________________________________ DATE ____________ PERIOD _____
51
Practice
Trigonometric Ratios
74
26 yd
?
9
T
13 cm
HIKING For Exercises 16 and 17, use the following information.
The 10-mile Lower West Rim trail in Mt. Zion National Park ascends 2640 feet.
16. What is the average angle of elevation of the hike from the canyon floor to the top of the
canyon? (Hint: Draw a diagram in which the length of the trail forms the hypotenuse of
a right triangle. Convert feet to miles.)
17. What is the horizontal distance covered on the hike?
64
42 ?
40
C B
18. RAMP DESIGN An engineer designed the entrance to a museum to include a wheelchair
ramp that is 15 feet long and forms a 6° angle with a sidewalk in front of the museum.
How high does the ramp rise?
© Glencoe/McGraw-Hill 682 Glencoe Algebra 1
R
7
T
12
?
16
30 ft
85
15 f
A