A memorial is V-shaped with equal sides of length 243.25 ft. The angle between these sides measures 121°24'. Find the distance between the ends of the two sides. 121°24 243.25 ft 243.25 ft The distance between the ends of the two sides is ft. (Do not round until the final answer. Then round to the nearest hundredth as needed.)

Calculus: Early Transcendentals
8th Edition
ISBN:9781285741550
Author:James Stewart
Publisher:James Stewart
Chapter1: Functions And Models
Section: Chapter Questions
Problem 1RCC: (a) What is a function? What are its domain and range? (b) What is the graph of a function? (c) How...
icon
Related questions
Question
Second photo is an example on how to solve
A memorial is V-shaped with equal sides of length 243.25 ft. The angle between these sides
measures 121 24'. Find the distance between the ends of the two sides.
121 24'
243.25 ft
243.25 ft
The distance between the ends of the two sides is
ft.
(Do not round until the final answer. Then round to the nearest hundredth as needed.)
Transcribed Image Text:A memorial is V-shaped with equal sides of length 243.25 ft. The angle between these sides measures 121 24'. Find the distance between the ends of the two sides. 121 24' 243.25 ft 243.25 ft The distance between the ends of the two sides is ft. (Do not round until the final answer. Then round to the nearest hundredth as needed.)
Question Help
A memorial is V-shaped with equal sides of length 261.25 ft. The angle
between these sides measures 128 24. Find the distance between the ends
of the two sides.
128°24'
261.25 ft
261.25 ft
According to the law of cosines, the square of a side of a triangle is equal to the sum of the squares of the
other two sides, minus twice the product of those two sides and the cosine of the angle included between
them. To find c, use the following form of the law of cosines.
c? = a? +b? -
- 2ab cos C
Substitute 261.25 for a, 261.25 for b, and 128°24' for C into the law of cosines.
2 = a? +b2 - 2ab cos C
c2 = 261.252 + 261.252 - 2(261.25)(261.25) cos 128°24'
Take the positive square root of each side of the equation. Round the answer to the nearest hundredth.
c2 = 261.25 + 261.252 - 2(261.25)(261.25) cos 128°24'
= /261.25 + 261.252 - 2(261.25)(261.25) cos 128°24'
C 470.42
Use a calculator.
Therefore, the distance between the ends of the two sides is approximately 470.42 ft.
Transcribed Image Text:Question Help A memorial is V-shaped with equal sides of length 261.25 ft. The angle between these sides measures 128 24. Find the distance between the ends of the two sides. 128°24' 261.25 ft 261.25 ft According to the law of cosines, the square of a side of a triangle is equal to the sum of the squares of the other two sides, minus twice the product of those two sides and the cosine of the angle included between them. To find c, use the following form of the law of cosines. c? = a? +b? - - 2ab cos C Substitute 261.25 for a, 261.25 for b, and 128°24' for C into the law of cosines. 2 = a? +b2 - 2ab cos C c2 = 261.252 + 261.252 - 2(261.25)(261.25) cos 128°24' Take the positive square root of each side of the equation. Round the answer to the nearest hundredth. c2 = 261.25 + 261.252 - 2(261.25)(261.25) cos 128°24' = /261.25 + 261.252 - 2(261.25)(261.25) cos 128°24' C 470.42 Use a calculator. Therefore, the distance between the ends of the two sides is approximately 470.42 ft.
Expert Solution
trending now

Trending now

This is a popular solution!

steps

Step by step

Solved in 2 steps with 2 images

Blurred answer
Knowledge Booster
Linear Equations
Learn more about
Need a deep-dive on the concept behind this application? Look no further. Learn more about this topic, calculus and related others by exploring similar questions and additional content below.
Recommended textbooks for you
Calculus: Early Transcendentals
Calculus: Early Transcendentals
Calculus
ISBN:
9781285741550
Author:
James Stewart
Publisher:
Cengage Learning
Thomas' Calculus (14th Edition)
Thomas' Calculus (14th Edition)
Calculus
ISBN:
9780134438986
Author:
Joel R. Hass, Christopher E. Heil, Maurice D. Weir
Publisher:
PEARSON
Calculus: Early Transcendentals (3rd Edition)
Calculus: Early Transcendentals (3rd Edition)
Calculus
ISBN:
9780134763644
Author:
William L. Briggs, Lyle Cochran, Bernard Gillett, Eric Schulz
Publisher:
PEARSON
Calculus: Early Transcendentals
Calculus: Early Transcendentals
Calculus
ISBN:
9781319050740
Author:
Jon Rogawski, Colin Adams, Robert Franzosa
Publisher:
W. H. Freeman
Precalculus
Precalculus
Calculus
ISBN:
9780135189405
Author:
Michael Sullivan
Publisher:
PEARSON
Calculus: Early Transcendental Functions
Calculus: Early Transcendental Functions
Calculus
ISBN:
9781337552516
Author:
Ron Larson, Bruce H. Edwards
Publisher:
Cengage Learning