For the given problems below, determine which law to use to solve each problem, choose the appropriate formula to use, and give your answer. 1) Crankshafts on Cars. Find the measure of 20. (a) The Law of (b) Formula: 3 in. (c) Answer: 015 9 in.

Trigonometry (11th Edition)
11th Edition
ISBN:9780134217437
Author:Margaret L. Lial, John Hornsby, David I. Schneider, Callie Daniels
Publisher:Margaret L. Lial, John Hornsby, David I. Schneider, Callie Daniels
Chapter1: Trigonometric Functions
Section: Chapter Questions
Problem 1RE: 1. Give the measures of the complement and the supplement of an angle measuring 35°.
Question

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For the given problems below, determine which law to use to solve each problem, choose the appropriate formula to use, and give your
answer.
1)
Crankshafts on Cars.
Find the measure of 20.
(a) The Law of
(b) Formula:
I
(c) Answer: I
3 in.
(a) The Law of
(b) Formula:
(c) Answer:
2) During a figure skating routine, Mary and Paul skate apart with an angle of 20˚ between them. Mary skates for 5
meters and Paul skates for 7 meters. How far apart are the skaters?
:: Cosine
0
x =
15°
9 in.
P
:: Sine :: cos O
((3)²+(15)²-(9)²)
(2x3x15)
(3)² + (9)² – 2 (3) (9) cos(15°)
2.5 meters
..
sin (20°)
7
sin (15)
3
sin O
9
12 meters
sin X
:: 51°
14 meters
:: 14°
(5)² + (7)² − 2 (5) (7) cos(20°)
:: 39°
2.9 meters
30
Transcribed Image Text:For the given problems below, determine which law to use to solve each problem, choose the appropriate formula to use, and give your answer. 1) Crankshafts on Cars. Find the measure of 20. (a) The Law of (b) Formula: I (c) Answer: I 3 in. (a) The Law of (b) Formula: (c) Answer: 2) During a figure skating routine, Mary and Paul skate apart with an angle of 20˚ between them. Mary skates for 5 meters and Paul skates for 7 meters. How far apart are the skaters? :: Cosine 0 x = 15° 9 in. P :: Sine :: cos O ((3)²+(15)²-(9)²) (2x3x15) (3)² + (9)² – 2 (3) (9) cos(15°) 2.5 meters .. sin (20°) 7 sin (15) 3 sin O 9 12 meters sin X :: 51° 14 meters :: 14° (5)² + (7)² − 2 (5) (7) cos(20°) :: 39° 2.9 meters 30
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