1. sin P = cos R =

Algebra & Trigonometry with Analytic Geometry
13th Edition
ISBN:9781133382119
Author:Swokowski
Publisher:Swokowski
Chapter6: The Trigonometric Functions
Section6.2: Trigonometric Functions Of Angles
Problem 81E
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Please help me this is due tonight
17-22: Write the appropriate equation, then solve. Round all answers to 3 decimal places.
To measure the width, XY, ofa river, a surveyor uses their tools to measure.
She determines that m/X = 40° and ZX = 287 ft.
17.
18. A train is traveling up a slight grade with an angle
of inclination of only 2". After traveling 1 mile,
what is the vertical change in feet? 5280'=1 mi.
1 mile
19.
Ethan is using a clinometer to find the angle of elevation for the height of a tree. He determines the angle to
be 40°. His eye level is 5' from the ground. He has a horizontal distance of 100 away from the tree. How tall
is the tree?
20. Find the area of the given triangle. Formula: A=;bh
21. Find the area of the given triangle. Formula: A= bh
75이
14'
28'
22. Find the missing angle and side measures of AABC, given that mZA = 34°, mZC = 90°, and CB = 22. Round the
side lengths to three decimal places and the angle measurements to the nearest degree. Use the appropriate
equation, then solve.
mzB=_
AB=
Transcribed Image Text:17-22: Write the appropriate equation, then solve. Round all answers to 3 decimal places. To measure the width, XY, ofa river, a surveyor uses their tools to measure. She determines that m/X = 40° and ZX = 287 ft. 17. 18. A train is traveling up a slight grade with an angle of inclination of only 2". After traveling 1 mile, what is the vertical change in feet? 5280'=1 mi. 1 mile 19. Ethan is using a clinometer to find the angle of elevation for the height of a tree. He determines the angle to be 40°. His eye level is 5' from the ground. He has a horizontal distance of 100 away from the tree. How tall is the tree? 20. Find the area of the given triangle. Formula: A=;bh 21. Find the area of the given triangle. Formula: A= bh 75이 14' 28' 22. Find the missing angle and side measures of AABC, given that mZA = 34°, mZC = 90°, and CB = 22. Round the side lengths to three decimal places and the angle measurements to the nearest degree. Use the appropriate equation, then solve. mzB=_ AB=
Rose Freasicr ♡
NAME
CLASS PERIOD_'l DATE -19-22
HW 12.1 - Trigonometry (Side lengths)
1-3: Find the sine, cosine, and tangent of both acute angles of the right triangle as fractions (ratios).
1.
sin P=
cos R =
2. cos C =
tan C =
Q
3.
tan R =
sin A =
15
4-6: Find the indicated trigonometric ratio as a fraction and as a decimal rounded to four decimals.
4.
sin M =
20
16
30
5.
tan L =
6.
cos Z =
16
7-12: Use a calculator to find the value correct to three decimal places.
7.
sin 52° :
8.
cos 8° =
9.
tan 72°
10. tan 8° z
11.
sin 89°
12.
cos 1° s
13 - 16: Use a scientific calculator and/or trigonometric tables to find the lengths of the labeled sides. Write the
appropriate proportion, then solve. Round answers to 2 decimal places.
14. р-
13. а%3
b =
25
42°
18
16. a=
15. и%3
V =
72°
-F
80°
12
E
Transcribed Image Text:Rose Freasicr ♡ NAME CLASS PERIOD_'l DATE -19-22 HW 12.1 - Trigonometry (Side lengths) 1-3: Find the sine, cosine, and tangent of both acute angles of the right triangle as fractions (ratios). 1. sin P= cos R = 2. cos C = tan C = Q 3. tan R = sin A = 15 4-6: Find the indicated trigonometric ratio as a fraction and as a decimal rounded to four decimals. 4. sin M = 20 16 30 5. tan L = 6. cos Z = 16 7-12: Use a calculator to find the value correct to three decimal places. 7. sin 52° : 8. cos 8° = 9. tan 72° 10. tan 8° z 11. sin 89° 12. cos 1° s 13 - 16: Use a scientific calculator and/or trigonometric tables to find the lengths of the labeled sides. Write the appropriate proportion, then solve. Round answers to 2 decimal places. 14. р- 13. а%3 b = 25 42° 18 16. a= 15. и%3 V = 72° -F 80° 12 E
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