MIME-Version: 1.0 Content-Type: multipart/related; boundary="----=_NextPart_01C82449.DBD570B0" This document is a Single File Web Page, also known as a Web Archive file. If you are seeing this message, your browser or editor doesn't support Web Archive files. Please download a browser that supports Web Archive, such as Microsoft Internet Explorer. ------=_NextPart_01C82449.DBD570B0 Content-Location: file:///C:/213799D1/sample-1.htm Content-Transfer-Encoding: quoted-printable Content-Type: text/html; charset="us-ascii" Math 240 Test 1 Sp-03

Math 240 Sample1 (Find all approximate answers to three significant digits)=

1.  Compu= te the following angle, show your work   -42o21’ + 29o  29’ 12”    Ans: -12o  51 ’ 48”            =             &nb= sp;

2.  Conve= rt 34 o 36’ 24” into decimal degree.  Ans: 34.6067o

3.  Find = x in each of the following drawing

a.        =             &nb= sp;            =             &nb= sp;            =             &nb= sp;            b.

  Ans: 72/13 An= s:  x =3D 5/6

4.  Find = the exact answer and the approximate answer of the three trig. values (SCT) for -510o.=   Sketch the angles in the standard position.   Ans: S=3D-1/2, C =3D -= Ö3 / 2 = » 0.866, T=3D1/= Ö3 = » 0.577

5. (Find the exact answer and the approximate answer.)= List the three trig. values (SCT) of the angle θ in the standard position in the following drawing.

a. Ans: S=3D3/Ö34 » 0.514, C=3D-5/Ö34 »= -0.857, T=3D -3/5       b. Ans:S=3D-6/7, = C=3D - Ö<= /span>13 /7 = » -0.515, T =3D 6/= Ö13=3D1.664

 

        =             &nb= sp;

6. A dial has length 11, and it makes an angle of _= 2;=3D119o in the standard position. Find the coordinate of  the tip P of the dial. Draw a pict= ure. Ans: x = » -5.33, y = » 9.62

7.  Find = the exact and approximate answer: sin(150o)cos(180o) + tan(150o)cos(225o)  Ans:-1/2+Ö2/(2Ö<= /span>3) = »-.092

8.   (Find the exact answer and t= he approximate answer) If sin(A) =3D 2/5, and angle A is in quadrant  II,  list the

three tri= g. (SCT) values and draw the angle.  An= s: C=3D -= Ö21/5 = » -0.917, T=3D -2/= Ö21 = » -0.436

9.   (Find the exact answer and t= he approximate answer) If csc(A) =3D -5, and angle A is in quadrant  III , list the

three tri= g. values (SCT) and draw the angle.  Ans: S=3D -1/5, C =3D-Ö24/5 »= -0.917, T=3D 1/= Ö24 = » 0.204. (Find the exact answer and the approximate answer.)  Find the missing angles or sides o= f the right triangles.

a. An= s:  ÐA=3D48o= , b »= 6.022, a = » 6.688        =    b.  c =3D Ö<= /span>185 = » 13.6, = ÐA = » 53.97o, = ÐB = » 36.03o

           

11. A= car is 50’ from a building.  A = man at the top of the building is looking at the car with the angle of

depre= ssion of 65o.  How tall is t= he building?  Ans: 50 tan(65) »= 107.22’

12. We dr= ive on the flat ground, heading for a mountain in the distant. We look up at the mountaintop and the

angle of elevation is 19o.  We drive straight toward the mount= ain for 3 miles (still in the plane) and look at the top of the mountain again = and the angle of the elevation is 55.5o.  How tall is the mountain?  Ans: 1.35mi

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