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For each exercise, select the correct ratio from the four choices given. Write the letter of the correct choicein the box that contains the number of that exercise.

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G) tan A

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Use the table of trigonometric ratios to do each exercise. Find each answer at the bottom ofthe page and write the letter of the exercise above it.

Angle Sin Cos Tan

0° 0.0000 1.0000 0.00005° .0872 .9962 .0875

10° .1736 .9848 .176315° .2588 .9659 .267920° .3420 .9397 .3640250 .4226 .9063 .466330° .5000 .8660 .577435° .5736 .8192 .700240° .6428 .7660 .839145° .7071 .7071 1.000050° .7660 .6428 1.191855° .8192 .5736 1.428160° .8660 .5000 1.732165° .9063 .4226 2.1445700 .9397 .3420 2.747575° .9659 .2588 3.732180° .9848 .1736 5.671385° .9962 .0872 11.430190° 1.0000 .0000 -----

If mLA = 20°, then ~ =

If a = 0.5736, then mLA =cIf mLA = 75° then b =, c

If ~ = 0.5000, then mLA =If mLA = 55°, then ~ =

If ~ = 0.8391, then mLA =

If mLB = 50 then ~ =, cIf a = 0.4226, then mLB =cIf mLB = 30°, then ~ =

If b = 5.6713, then mLB =aIf mLB = 50° then b =, c

If b = 0.2588, then mLB =c

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Find the following:

CD sin 25° @ tan 35° @ cos 100 @ cos 800 @ sin 700 0 tan 450

BUse the figure at c./1the right for the ~ aremaining exercises. AbC

ALGEBRA WITH PIZZAZZ!228 @ Creative Publications OBJECTIVE 5-b: To use a lable of trigonometric ratios.

x

o

~x

70 em

x

~x 20°30 m

5m

x

([)

@ (2)xLh18°

x

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For the first eight exercises, find the length x. For the remaining exercises, find the length needed to solve the problem. Roundeach answer to the nearest tenth. Cross out each box that contains a correct answer. When you finish, write the letters fromthe remaining boxes in the spaces at the bottom of the page.

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28.7 mi

NI

As it leans against a building,a 9-meter ladder makesan angle of 55° with the !2:ground. How far is the C>.>'bottom of the ladder J55°from the base ofthe building? x

A

22.2 m

KY

10.9 m

@

UN6.2 m

A

15.3 em

AR23.5 m

UP34.9 mi

If a rocket flies 2° off course for1000 miles, how far from thecorrect path will the rocket be?

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2.1 m

P

63.6 m

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TO

7.3 em

AP

5.4 m

NS

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4.7 m

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At a point 20 meters from aflagpole, the angle ofelevation of the top ofthe flagpole is 48°.How tall is theflagpole?

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DAFFYNITION DECODEReEUROPE:

30° 42° 21° 24° 74° 2° 21° 24° 37° 4go 2° 42° 17° 32° 5° 2°

UNDERGROUND GARAGE:

46° 5° go go 28° 2° 42° 7° 46° 5° go go 7° 51° 5° 24° 68° 34° 2°

TO DECODE THE TWO DAFFYNITIONS ABOVE: For the first nine exercises, find themeasure of the angle indicated. For the remaining exercises, find the angle measure neededto solve the problem. Round to the nearest degree. Each time the answer appears in thecode, write the letter of the exercise below it.

g

10

36

CD

@

16

5

Each step of a stairway rises 16 cmfor a tread width of 36 cm. Whatangle does thestairway makewith thefloor?

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50

3

A driveway is built on an incline sothat it rises 3 m over a distance of20 m. What is the angle of elevationof the driveway? 20

@

@ A roof is constructed as shown in thediagram. Find the

prt,h 1'"'" o~elevation) of Ithe roof. 110'

~16'~

A train decreases its altitude by 8 mwhen traveling along 200 m of track.Find the angle of depression of thetrack.

200

230 ALGEBRA WITH PIZZAZZ!@ Creative Publications

OBJECTIVE 5-d: To use trigonometric ratios tofind measures of angles of right triangles.