1 Tim was standing at point A when he saw a tree, T, directly opposite him on the far bank of the river. He walked 100 m along the riverbank to point B and noticed that his line of sight to the tree made an angle of 27° with the riverbank. Answer the following to two decimal places. a How wide was the river? b What is the distance from point B to the tree? 27° A 100 m B Standing at B, Tim measured the angle of elevation to the top of the tree to be 18°. c Make a clearly labelled diagram showing distance TB, the height of the tree and the angle of elevation, then find the height of the tree. 2 A yacht, P, left port and sailed 45 km on a bearing of 290°. Another yacht, Q, left the same port but sailed for 54 km on a bearing of 040°. a What was the angle between their directions? b How far apart were they at that stage (to two decimal places)?
1 Tim was standing at point A when he saw a tree, T, directly opposite him on the far bank of the river. He walked 100 m along the riverbank to point B and noticed that his line of sight to the tree made an angle of 27° with the riverbank. Answer the following to two decimal places. a How wide was the river? b What is the distance from point B to the tree? 27° A 100 m B Standing at B, Tim measured the angle of elevation to the top of the tree to be 18°. c Make a clearly labelled diagram showing distance TB, the height of the tree and the angle of elevation, then find the height of the tree. 2 A yacht, P, left port and sailed 45 km on a bearing of 290°. Another yacht, Q, left the same port but sailed for 54 km on a bearing of 040°. a What was the angle between their directions? b How far apart were they at that stage (to two decimal places)?
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°.
Related questions
Question
Complete Solution please.
Answer should be
A. 50.95 m
B. 112.23
Transcribed Image Text:1 Tim was standing at point A when he saw
a tree, T, directly opposite him on the far
bank of the river. He walked 100 m along
the riverbank to point B and noticed that
his line of sight to the tree made an angle
of 27° with the riverbank. Answer the
following to two decimal places.
a How wide was the river?
b What is the distance from point B to the tree?
27°
A
100 m
B
Standing at B, Tim measured the angle of elevation to the top of the tree to be 18°.
c Make a clearly labelled diagram showing distance TB, the height of the tree and
the angle of elevation, then find the height of the tree.
2 A yacht, P, left port and sailed 45 km on a bearing of 290°.
Another yacht, Q, left the same port but sailed for 54 km on a bearing of 040°.
a What was the angle between their directions?
b How far apart were they at that stage (to two decimal places)?
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