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? (a) The Law of (b) Formula: (c) Answer: 3

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°.
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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?
(a) The Law of
(b) Formula:
(c) Answer:
#2
:: Cosine :: Sine
(5)² + (7)²2 (5) (7) cos(20")
#511
#14° #39°
cos O
=
:: 2.9 meters
((3)²+(15)²-(9)²)
(2x3x15)
sin (201
7
(3)²+(9)²2 (3) (9) cos(15")
:: 2.5 meters
sin X
5
sin (15°
3
:: 12 meters :: 14 meters
sin O
9
Transcribed Image Text: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? (a) The Law of (b) Formula: (c) Answer: #2 :: Cosine :: Sine (5)² + (7)²2 (5) (7) cos(20") #511 #14° #39° cos O = :: 2.9 meters ((3)²+(15)²-(9)²) (2x3x15) sin (201 7 (3)²+(9)²2 (3) (9) cos(15") :: 2.5 meters sin X 5 sin (15° 3 :: 12 meters :: 14 meters sin O 9
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