University:
South Plains College
Course:
MATH 1332 | Contemporary Mathematics
Academic year:

2024
Views:

175

Pages:

4
Author:

Alexia V.

MATH 1332 Notes 3.5 Name MATH 0332/1332 Notes 4.5 Right Triangle Trigonometry Review 1. Find the missing side of the right triangle shown. K=160 12km 944 m 8 km -4 2. Find the missing sides and angles of the right triangle shown. 16 in 2 x-128 X=8|)S14in Right Triangle Trigonometry us relationships between the Definition; Trigonometry is the study of triangle measurement. It gives Angles and sides of triangles. name the sides by where they nstead of naming the sides of a right triangle a, b, and c, we are going to angles. are positioned on the triangle relative to one of the acute adjacent Trigonometricratios are used to find the ratio of the sides relative to a given angle. hypotenuse cos(4) = tljacent hypotenlise opposte tan(A) = adjacent opposite sin(4) oPposite djacent Remember: SOHCAHTOA Note: Your calculator should be in degree mode when working with angles measured in degrees. MATH 0332/1332 Ass0gnment 4 6 3. Find the sine, cosine and ,Theta tangent of the angle 6shown below. 8 Sinó: lose: 10 4. Find the sine, cosine, and tangent of the angle both angle E and of anglet? E SinE3 13 12 D SinF los Fs 5 5. Use your calculator to find the following. Round to the nearest thousandth if not exact. asin(30')-S b. sin(60') B) c.tan(22') 404 d. cos(45)107 e. cos(83").122 f. tan(45°) Inverse Trig Functions When usethe trig ratios, we can find both missing sides and missing angles. Inorder to find a missing angle, we use an inverse trig function. If sin =P, then = sin1 hyp' If cos hyp = arcsin(P , then 0 = cos-1( =arccos \hyp/ () Iftan =PP, then 9= tan-1()= \adj) Ladj/ arctan(oPP) adj' sise a trig ratioto find the missing angle. Round to the nearest thousandth if not exact. 7. 6. SnX 26 19 26 x:Sn"A) 4. 725 Use a trig ratio nearest righttriangle. Round to the the of side missing tofind the thousandth if not exact. 9 24( 8. 59 Tans|°-24 x tanso X 24 tens~I?.43s X=24 Sin°37 325inS?: K-375m54z .75s 11. 10. 39 in 62° 30 24 U ads (os24° U: 30M274obmis 30 x 5)072, Nar 12. Find aall exact. missing sides and angles of the A triangle shown. Round answers to the nearest tenth if not b Cus5°= 25° 8m Angles of Elevation and Depression Definition: An angle of clevation rises up from a horizontal linc. Definition: An angle of depression fals down from ahorizontal line. Horizontal Line 379 Angle of depression Angle of Depression Angle of Elevation 370 Honzontal Line Angle of elevation 13. You notice that when youare standing 15 feet away from the base of aflagpole, the angle of elevation to the top of the flagpole is 65". How tall is the flagpole? IS. tan S ° s adi 14. While standing at the top of the 1,454 fA tall Empire State Building, you notice the angle of depression to the start of Central Park is 12.5°. How far is the Empire State Building from Central 1?.s°:. Park? n 15 xtun?5': 1454 tan 2.5 X: ton25