mega packet m11a

8/7/2019 Mega Packet m11a

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Math #CIaSS:

114 NIzI\ame:

CLASSWORK/IIOMEWORKDate:

In 10-15, express in sim radicalwhose hypotenuse is repr bycby a and b.10. a,:2,b:313, a:7,b = 1

: 4, b: 4fiform the third side of the right triangleand whose other sides are represented

In 1-9, find the third sidesented by r and whose other1', q,:3,b:44. c:13, a: Lz7. a,: Jz, b : {t

of the right trianglesides are represented'a,:8,b T 15

c - L7, b: 15

0,:3rb:3b : f3,c: fLs

whose hypotenuse is repre-by a and b.3, c:10, o.,:6

6. c:25,b:2Ag. s,: |Ji, c: 10

L2.0,:4,c:815. o,: 4f 2, c: 8

tenth, the third side of theby c and whose other sideslB. c: L5,a: b2L,c:35,b:2524, a: |fi, c: 10

4x28.

the ledge of athe builditrS,stake in thelength of the

In L6-24, approximate, ect to the nearestright triangie whose hyp is representedare represented by o and a: 4,b:9c: 12,b:3a,:3, c:6

16. a, : 5, b rit19. c: zi;, P3,22.a,=7,"b=7 *,i ffiffi:: E_eIn 25-28, find r and express irrational results in simplest.,radical form.

&3ftiI32.

29, A }adder 39 feet long leans against a building and reacheswindow. If the foot of the ladder is 15 feet from the foot ofhow high is the window ledge above the ground?A wire stretches from the top of a, pole 24 feet high to aground'which is 18 feet from the foot of the pole, Find thewire.A man traveled 24 miles north and then L0 miles east. How far was hefrom his starting point?Tom and rrenry started from the same place. Tom travered west at therate of 30 miles per hour and Henry traveled south at the rate of 40 milesper hour. How far apart were they at the end of one hour?

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In 33-36, find the diagonal of a rectangle whose sides are the givenme&surements,3,J^ 8 in. and 15 in. G ,uin. and ro r"..-M tO ft. and 24 ft. b6. g ya. and 40 yd.37. The diagonal of a rectangle is 13 in. One side is 12 in. Find the other side.3Q. The diagonal of a rectangle is 34 in. One side is 16 in. Find the other side.7{Q lpproxiinate, to the neirestfoot, the diameter of the largest round tabler"' which can be taken through a rectangular doorway whose base is 4 feetand whose height is 7 feet.Approximate, to the nel,rest inch, the base of a rectangle whose diagonalis 25 inches and whose altitude is 18 inches.In 41-45, approximate, to the nearest tvnth of an ineh, the diagonal of a6_quele whose side is the given measurement.

{tal. z in. 42. 4 in.In 46-50, approximate, to the nel,rest tenth of anwhose diagonal is the given meesurement.

44. 6 in. 45, 7 in.inch, the side of a square

fi to the nearest foat or the angle rnarked r

46.Oin. ffi2in.tt 48. 4 in. {m, 1o in. 50. s in.\/In 1-8, find the line markedto the nearest dearee.

4\p ''2s',I.ot(J6. 7.

4.0rJr,'la

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In 1-8, find the lineto the neo,rest degree. marked n to the nea,rest foot or the angle marked r

1. 4.3.,-a

nlr

,-a

Exercises 1-7 refer io right A ABC.I{ame the ratio that, canbe used to find:1. side a when angle l- and side c are given2. side i: when angl e A and sicle c are given3. side c when side a and angle A &re given4. side b when side o and angle B are given5, angle L when side a and side b are given6. angle B when side s and side c are given7, side a when side b and angle C are givenA

-T Exercises 8-13 refer to ARB?. fn each exercise, give thev-/ l^ value of the ratio as a fraction,-./ -1" B. sin R 9. tan T 10. sin ?n#g 11. cos R 12. cos ? 13. tan -B

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In L-4, find the iineto the nearest degree,

6.

marked fr to the neo,rest foot or the angle marked fr


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In 14-25, flnd the iine marked s to the nearest foot or the angle marked rto the nearest degree.

17,

24.

23.

/_ J20t14.

A/l 36'/ lto'/l/'" J,I

// 1,,,-l25',,--a

251

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1. A monument stands on level ground. The angle of elevation of the topof the monument, taken at a point 125 feet from the foot of the mon-ument, is 32". Find the height of the monument to the neo,rest foot.A boy flying a kite lets out 150 feet of string that makes an angle of 64owith the ground. Assuming that the string is straight, find to the nearestf oot how high the kite is above the groundA 25-foot guy wire attached to the top of a pole makes an angle of 62owith the ground. Find to the nearest foot the distance between the pointwhere the guy wire meets the ground and the foot of the pole.+. A boy walked 400 feet into a tunnel which slopes downward at an angleof 7o with the horizontal ground. Find to lhe nearest tm leet how far hewas beneath the sur{ace.An airplane C is 1000 feet above the ground and directly over a church C.The angle of elevaiion of the plane as seen by a boy at a point B on theground some distance from the church is 22o. Find to the nea,rest f oot:0,. how far the boy is from the churchb. how far the boy is from the planeAn observer in a balloon which is 2000 feet above an airport finds thatthe angle of depression of a steamer out at sea is 21". tr'ind to the nearesthundred f eet the distance between the balloon and the steamer.A plane takes ofr from a field and climbs at an angle of l2o. Find to thenearest 100 feet how far the plane must fly to be at an altitude of 1200 feet.B. Find to the nearest degree t}re angle of elevation of the sun when a tree24 f.eet high casts a shadow of 36 feet.9. A +O-foot ladder is leaning against a building. The foot of the ladder is32 feet from the building. Find to t'hB nearest degree the angle which theladder makes with the ground.

10. A railroad track slopes upward at an angle of 7o to the horizontal. Findto the nearest ten Jeet the vertical distance it rises in a horizontal distanceof 1 mile (5280 feet).1I. From the top of a cliff 450 feet above sea level, the angle of depressionof a boat out at sea is 24o. Find to the nearest foot the distance throughthe air from the top of the cliff to the boat.12. A television tower is 150 feet high and an observer is 120 feet from thebase of the tower. Find to the nearest degree the angle of elevation ofthe top of the tower from the point where the observer is standing.

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VATIIES OF TIIE TRIGONOMETRTC FIINCTIONSAngle Sine Cosine 3'*"t Angle Sine Coeine Tangent102"3"

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mega packet m11a

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