The following diagram shows a line representing the road and a circle representing the area covered by the tower's signal. Point R is on the circumference of the circle and points S and R are on the road. Point S is 38 km from the tower and RŜT = 43°. diagram not to scale 32 38 43 R Let SR = x. Use the cosine rule to show that x? – (76 cos 43')x + 420 = 0. 4b. Hence or otherwise, find the total distance along the road where the signal from the tower can reach cellular phones.

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°.
icon
Related questions
icon
Concept explainers
Topic Video
Question

help

The following diagram shows a line representing the road and a circle representing the
area covered by the tower's signal. Point R is on the circumference of the circle and points S
and Rare on the road. Point S is 38 km from the tower and RŜT = 43'.
diagram not to scale
32
38
43°
R
Let SR = x. Use the cosine rule to show that x? – (76 cos 43*)x + 420 = 0.
4b.
Hence or otherwise, find the total distance along the road where the signal from the tower
can reach cellular phones.
Transcribed Image Text:The following diagram shows a line representing the road and a circle representing the area covered by the tower's signal. Point R is on the circumference of the circle and points S and Rare on the road. Point S is 38 km from the tower and RŜT = 43'. diagram not to scale 32 38 43° R Let SR = x. Use the cosine rule to show that x? – (76 cos 43*)x + 420 = 0. 4b. Hence or otherwise, find the total distance along the road where the signal from the tower can reach cellular phones.
Expert Solution
Step 1

It is given that communication tower T has a range of radius 32km.

Two points S and R such that:

ST=38km

TR=32km (Radius)

let SR=x

Now, consider the triangle TSR i.e.,

Trigonometry homework question answer, step 1, image 1

trending now

Trending now

This is a popular solution!

steps

Step by step

Solved in 3 steps with 1 images

Blurred answer
Knowledge Booster
Application of Algebra
Learn more about
Need a deep-dive on the concept behind this application? Look no further. Learn more about this topic, trigonometry and related others by exploring similar questions and additional content below.
Recommended textbooks for you
Trigonometry (11th Edition)
Trigonometry (11th Edition)
Trigonometry
ISBN:
9780134217437
Author:
Margaret L. Lial, John Hornsby, David I. Schneider, Callie Daniels
Publisher:
PEARSON
Trigonometry (MindTap Course List)
Trigonometry (MindTap Course List)
Trigonometry
ISBN:
9781305652224
Author:
Charles P. McKeague, Mark D. Turner
Publisher:
Cengage Learning
Algebra and Trigonometry
Algebra and Trigonometry
Trigonometry
ISBN:
9781938168376
Author:
Jay Abramson
Publisher:
OpenStax
Trigonometry (MindTap Course List)
Trigonometry (MindTap Course List)
Trigonometry
ISBN:
9781337278461
Author:
Ron Larson
Publisher:
Cengage Learning