(71) Suppose the distance AB is a kilometres and the distance TR is d kilometres Use the Law of Sines to show that d cos B sec a sin (B-a) (72) Show that the equation in 71 can also be written in the form d tan 8 - tan a (73) Suppose Thabo walks in the direction 45° east of north, and Randall in the direction 60° east of north, and they arrive at the road 2 (√3-1) kilometres apart Use the equation in 7 2 to calculate the shortest distance from A to the road Simplify your answer
(71) Suppose the distance AB is a kilometres and the distance TR is d kilometres Use the Law of Sines to show that d cos B sec a sin (B-a) (72) Show that the equation in 71 can also be written in the form d tan 8 - tan a (73) Suppose Thabo walks in the direction 45° east of north, and Randall in the direction 60° east of north, and they arrive at the road 2 (√3-1) kilometres apart Use the equation in 7 2 to calculate the shortest distance from A to the road Simplify your answer
Advanced Engineering Mathematics
10th Edition
ISBN:9780470458365
Author:Erwin Kreyszig
Publisher:Erwin Kreyszig
Chapter2: Second-order Linear Odes
Section: Chapter Questions
Problem 1RQ
Related questions
Question
Transcribed Image Text:Thabo and Randall find themselves lost on a hiking expedition They know, however, that the main
road running west-east cannot be too far away They start walking in different dırections to get to the
main road. The following diagram illustrates the situation.
в
T
R
West
East
A
Thabo and Randall start to walk from point A. Thabo walks in the direction a degrees east of north and
Randall in the direction B degrees east of north. Thabo gets to the road at point T and Randall arrives
at R. AB represents the shortest distance from A to the main road.
Transcribed Image Text:(7 1) Suppose the dıstance AB 1s a kilometres and the distance TR 1s d kilometres
Use the Law of Sines to show that
d cos B
sec a sın (B – a)
(7 2) Show that the equation in 71 can also be written in the form
a
tan 3 – tan a
(7 3) Suppose Thabo walks in the dırection 45° east of north, and Randall in the dırection 60° east of
north, and they arrive at the road 2 (V3 – 1) kilometres apart Use the equation in 7 2 to calculate
the sbortest distance from A to the road Simplify your answer
Expert Solution
Step 1
(a)
Given that,
In right triangle ABT,
In triangle ABR,
Step by step
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