a nswers to h omework 1) 14.42) 73.83) 16.74) 26.0 5) 9.96) 7.17) 10.38) 5.6 9) 3710) 3411) 2312) 38...

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ANSWERS TO HOMEWORK 1) 14.4 2) 73.8 3) 16.7 4) 26.0 5) 9.9 6) 7.1 7) 10.3 8) 5.6 9) 37 10) 34 11) 23 12) 38 13) 53 14) 51 15) 46 16) 27 17) x = 101.8, y = 63.6 18) x = 26, y = 64 19) x = 27.4, y = 12.2 20) x = 11.8, y = 10.7 21) x = 13.7, y = 78 22) x = 7.1, y = 44 23) x = 88, y = 46 24) x = 18, y = 9.3

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Page 1: A NSWERS TO H OMEWORK 1) 14.42) 73.83) 16.74) 26.0 5) 9.96) 7.17) 10.38) 5.6 9) 3710) 3411) 2312) 38 13) 5314) 5115) 4616) 27 17) x = 101.8, y = 63.618)

ANSWERS TO HOMEWORK

1) 14.4 2) 73.8 3) 16.7 4) 26.05) 9.9 6) 7.1 7) 10.3 8)

5.69) 37 10) 34 11) 23 12) 3813) 53 14) 51 15) 46 16) 27

17) x = 101.8, y = 63.6 18) x = 26, y = 6419) x = 27.4, y = 12.2 20) x = 11.8, y = 10.721) x = 13.7, y = 78 22) x = 7.1, y =

4423) x = 88, y = 46 24) x = 18, y = 9.3

Page 2: A NSWERS TO H OMEWORK 1) 14.42) 73.83) 16.74) 26.0 5) 9.96) 7.17) 10.38) 5.6 9) 3710) 3411) 2312) 38 13) 5314) 5115) 4616) 27 17) x = 101.8, y = 63.618)

8-7 APPLICATIONS OF RIGHT TRIANGLE TRIGONOMETRY

Answers to Warm Up

sin 5612

x

cos5612

y

tan56x

y

cos3412

x

sin 3412

y

tan34y

x

Equal

Reciprocal

Page 3: A NSWERS TO H OMEWORK 1) 14.42) 73.83) 16.74) 26.0 5) 9.96) 7.17) 10.38) 5.6 9) 3710) 3411) 2312) 38 13) 5314) 5115) 4616) 27 17) x = 101.8, y = 63.618)

EXAMPLE

When the sun’s angle of elevation is 38°, a building casts a shadow of 45m. How tall is the building?

3845

x

tan 3845

x

35x m

Page 4: A NSWERS TO H OMEWORK 1) 14.42) 73.83) 16.74) 26.0 5) 9.96) 7.17) 10.38) 5.6 9) 3710) 3411) 2312) 38 13) 5314) 5115) 4616) 27 17) x = 101.8, y = 63.618)

EXAMPLE

From the top of a lighthouse 20m tall, a sailboat is sighted having an angle of depression of 4°. How far from the lighthouse is the boat?

420

x20

tan 4x

286x m

Page 5: A NSWERS TO H OMEWORK 1) 14.42) 73.83) 16.74) 26.0 5) 9.96) 7.17) 10.38) 5.6 9) 3710) 3411) 2312) 38 13) 5314) 5115) 4616) 27 17) x = 101.8, y = 63.618)

TOO: DRAW A PICTURE AND SOLVE!

1) Two buildings on opposite sides of the street are 40m apart. From the top of the taller building the angle of depression to the top of the shorter building is 13°. How much shorter is the shorter building than the taller building?

2) A road 1.6km long rises 400m. What is the angle of elevation? (Hint: 1000m = 1km)

9m

14°

Page 6: A NSWERS TO H OMEWORK 1) 14.42) 73.83) 16.74) 26.0 5) 9.96) 7.17) 10.38) 5.6 9) 3710) 3411) 2312) 38 13) 5314) 5115) 4616) 27 17) x = 101.8, y = 63.618)

SECRET COMPARTMENTS

RIG

HT

TR

IAN

GLE

SFor

x:

Fill in

the sides

10

10

10

20

20

20

x

x

x

45

45

60

30

Solve

Page 7: A NSWERS TO H OMEWORK 1) 14.42) 73.83) 16.74) 26.0 5) 9.96) 7.17) 10.38) 5.6 9) 3710) 3411) 2312) 38 13) 5314) 5115) 4616) 27 17) x = 101.8, y = 63.618)

SECRET COMPARTMENTS

sin1020

x 3.5x

20cos10

x

10tan

20x

20.3x

27x

45-45-90

30-60-90

45

45

60

30

x

x

2xx

x√2

x√3

Page 8: A NSWERS TO H OMEWORK 1) 14.42) 73.83) 16.74) 26.0 5) 9.96) 7.17) 10.38) 5.6 9) 3710) 3411) 2312) 38 13) 5314) 5115) 4616) 27 17) x = 101.8, y = 63.618)

SECRET COMPARTMENTS

CH

APTER

8

Your

Nam

e a

nd

Peri

odWrite four

common triples

and a

multiple (x2)

What do you use if

it’s not a common triple?

Page 9: A NSWERS TO H OMEWORK 1) 14.42) 73.83) 16.74) 26.0 5) 9.96) 7.17) 10.38) 5.6 9) 3710) 3411) 2312) 38 13) 5314) 5115) 4616) 27 17) x = 101.8, y = 63.618)

SECRET COMPARTMENTS

3,4,5

10,24,265,12,13

16,30,348,15,17

14,48,507,24,25

c2 = a2 + b2Pythagorean Theorem

6,8,10

Page 10: A NSWERS TO H OMEWORK 1) 14.42) 73.83) 16.74) 26.0 5) 9.96) 7.17) 10.38) 5.6 9) 3710) 3411) 2312) 38 13) 5314) 5115) 4616) 27 17) x = 101.8, y = 63.618)

HOMEWORK

Page 318 #1-6 Page 304 #1-7 (Self Test)

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