University:
College of Central Florida
Course:
MAC1114 | Trigonometry
Academic year:

2024
Views:

499

Pages:

2
Author:

Jamari Day

Trigonometry Lesson #5: Determining Angles and Sides in Right Triangles Overview In Lesson #3 we learned how to calculate the length of a side in a right triangle using the Pythagorean Theorem and using trigonometry. In Lesson #4 we learned how to calculate the measure of an angle in a right triangle using trigonometry. In this lesson we combine both procedures in solving right triangles. Clan Ex. 01 b) In each case, calculate the measure of x to the nearest whole number. a) c) SOH CAH TOA TOR CAM THA 69° 24° 12.7 (opp) d) 68 (adj) 126 (opp) (hyp) 7.2 U 5.2 (1p) tan 24° lapp) tan x 12.7 5.2 Sin69= 126 X = 136 sin690 136 68 tan 24 x=30 cos x 4.0 7.2 x*:56" Class Ex. #2 A telephone pole is 11 m high, and is supported by a wire 13 m long fixed to the top of the pole and to the ground. a) Calculate, to the nearest degree, the angle between the wire and the ground. 13m Ilm (opp) Sin 13 Jad Si (11113) ENTER Angle betrieen wire and ground 59 x58 40 b) Calculate the distance, to the nearest 0.1 m, between the point where the wire is fixed to the ground and the foot of the pole using 1) the Pythagorean Theorem a=c²-b² Letad d. 548 13 II) trigonometry. tos 58° d TX adj Distance 6.9m Complete Assignment Questions #1-#6 d. 13 cos 58 Distance =6.9m Copyright by Absolute Value Publications. This book is NOT covered by the Cancopy agreement. (adj) 94 Trigonometry Lesson #5: Determining Angles und Sides in Right Triangles Solving Right Triangles Solving a right triangle means that we have to determine the length of each side and the measure of each angle. In addition to the right angle, we need to know the length of one side and one other piece of information. Depending on the information given, we can use the angle sum of a triangle, the Pythagorean Theorem and/or trigonometry to solve the triangle. (adj) Class Ex. 83 Solve the given triangle. A B Give all answers correct to the nearest whole number. 37° side B (opp) Sides Cos 37° AB sin 37"= BC 33 (hyp) AB 33 cos 37" BC: 33 sin 37 C A6 26 BL 20 AC 33 Angles < BAC= 31" < BCA53 180°-90°-37° 58° Class Ex. 44 Solve triangle DEF. Give all sides correct to the nearest tenth and all angles correct to the nearest whole number. D DF 49+5.3 Sides Let a= 4.9 52.1 DF 52. 5.3 DE EF CDF 7.2 DF 7.2 Angle EFD Angle FDE Angles F E tan F-53 4.9 < D=180-90-47 = 43° 4.9 < DEF 90 < EFD 47° < FDE: 43° Complete Assignment Questions #7 - #17 Copyright by Absolute Value Publications. This book is NOT covered by the Cancopy agreement.

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