[PDF] [PDF] Practice Right Triangle Trigonometry 4-1 - School District of Clayton

[PDF] 4-1 Study Guide and Intervention - MRS FRUGE

Chapter 4 7 Glencoe Precalculus 4-1 Practice Right Triangle Trigonometry Find the + 2n Sample answers: 403°, –317° Applications of Sinusoidal Functions You can use sinusoidal functions to solve certain application problems

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NAME 4-1 Practice Right Triangle Trigonometry Find the exact values of the six trigonometric functions of e 1 1 sino = CSC 2 Tal cose-15 SECOND INGERS

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[PDF] Practice Right Triangle Trigonometry 4-1 - School District of Clayton

Lesson 4-1 Chapter 4 7 Glencoe Precalculus Find the exact values of the six trigonometric functions of θ 1 3 8 θ 2 7 24 θ Find the value of 1 4 + 2nπ y x 43° 403° Sample answers: 403°, −317° Sample answers: π − 4 , − 15π −

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Copyright © Glencoe/McGraw-Hill, a division of The McGraw-Hill Compan ies, Inc.

NAME DATE PERIOD

Lesson 4-1

Chapter 4 7 Glencoe Precalculus

Find the exact values of the six trigonometric functions of θ. 1. 38

θ 2. 7

24

Find the value of

x . Round to the nearest tenth, if necessary. 3. 63.1

56°x

4.

19.226

x

5. On a college campus, the library is 80 yards due east of the dormitory a

nd the recreation center is due north of the library. The college is constructing a sidewa lk from the dormitory to the recreation center. The sidewalk will be at a 56° angle with the current sidewalk between the dormitory and the library. To the nearest yard, how long will the new sidewalk be?

143 yd 6. If cot A = 8, find the exact values of the remaining trigonometric functions for

the acute angle A sin A = ⎷ ?? 65 65
, cos A = 8 ⎷ ?? 65 65
, tan A = 1 8 , sec A = ⎷ ?? 65 8 , csc A = 65

Find the measure of angle

. Round to the nearest degree, if necessary. 7. 23
8. 74
Solve each triangle. Round side measures to the nearest tenth and angle measures to the nearest degree. 9. 14

22°

10. 72
c

11. SWIMMING The swimming pool at Perris Hill Plunge is 50 feet long and 25 feet wide

If the bottom of the pool is slanted so that the water depth is 3 feet a t the shallow end and 15 feet at the deep end, what is the angle of elevation at the botto m of the pool? about 13.5

Practice

Right Triangle Trigonometry

4-1

35.3sin θ =

3 8 , cos θ = ⎷ ?? 55
8 tan θ =

3 ⎷ ??

55
55
, csc θ = 8 3 sec

8 ⎷ ??

55 ?

55
, cot θ = 55
3 sin θ = 24
25
cos θ = 7 25
tan θ = 24
7 , csc θ = 25 24
sec θ = 25
7 , cot θ = 7 24
9.4 42

°55°

a ≈ 5.2, b ≈ 13.0, B = 68°c ≈ 7.3, A ≈ 16°, B ≈ 74° Copyright © Glencoe/McGraw-Hill, a division of The McGraw-Hill Compan ies, Inc.

NAME DATE PERIOD

Chapter 4 8 Glencoe Precalculus

Word Problem Practice

Right Triangle Trigonometry

1. MONUMENTSThe Leaning Tower of

Pisa in Italy is about 55.9 meters tall

and is leaning so it is only about

55 meters above the ground. At what

angle is the tower leaning? about 10.3°

2. SUBMARINESA submarine that is

250 meters below the surface of the ocean

begins to ascend at an angle of 22° from vertical. How far will the submarine travel before it breaks the surface of the water? about 269.6 m

3. PHYSICS Suppose you are traveling in a

car when a beam of light passes from the air to the windshield. The measure of the angle of incidence i is 55°, and the measure of the angle of refraction r is 35.25°. Use Snell"s Law, sin θ i sin θ r = n, to find the index of refraction n of the windshield to the nearest thousandth. about 1.419

4. CONSTRUCTION A 30-foot ladder

leaning against the side of a house makes a 70.1 angle with the ground. 30 ft
70.1
a. How far up the side of the house does the ladder reach? about 28.2 ft b. What is the horizontal distance between the bottom of the ladder and the house? about 10.2 ft

5.OBSERVATION A person standing

100 feet from the bottom of a cliff notices

a tower on top of the cliff. The angle of elevation to the top of the cliff is 30°, and the angle of elevation to the top of the tower is 58°. How tall is the tower? about 102.3 ft

58°

30

100 ft

6.GEOMETRYThe apothem of a regular

polygon is the measure of the line segment from the center of the polygon to the midpoint of one of its sides. A circle is circumscribed about a regular hexagon with an apothem of 4.8 centimeters.

4.8 cm

a. Find the radius of the circumscribed circle. about 5.5 cm b.What is the length of a side of the hexagon? about 5.5 cm c.What is the perimeter of the hexagon? about 33 cm

7.SKATEBOARD Suppose you want to

construct a ramp for skateboarding with a

19° incline and a height of 4 feet.

a. Draw a diagram to represent the situation. 4 ft

19°

b. Determine the length of the ramp. about 12.3 ft 4-1 Copyright © Glencoe/McGraw-Hill, a division of The McGraw-Hill Compan ies, Inc.

NAME DATE PERIOD

Chapter 4 12 Glencoe Precalculus

Write each decimal degree measure in DMS form and each DMS measure in decimal degree form to the nearest thousandth.

1. 28.955° 2. -57.3278

28

° 57" 18" -57° 19" 40.08"

3. 32° 28" 10" 4. -73° 14" 35"

32.469

-73.243° Write each degree measure in radians as a multiple of and each radian measure in degrees.

5. 25°

5 36

6. 130°

13 18 7. 3 4

135° 8.

5 3

300°

Identify all angles that are coterminal with the given angle. Then find and draw one positive and one negative angle coterminal with the given angle.

9. 43°

43
+ 360n° 10. - 7 4 7 4 + 2nπ y x

43°

403
Sample answers: 403°, -317° Sample answers: 4

15π

4 Find the length of the intercepted arc with the given central angle meas ure in a circle of the given radius. Round to the nearest tenth.quotesdbs_dbs4.pdfusesText_7