1. You are standing nearby a tree with your eyes 2 metres above the ground. The line of sight to the top of the tree makes an angle of 60° with the horizontal. This angle reduces to 45° when you step back 4 metres further away from the tree, (a) How tall is the tree? (b) Suppose that you then step back another 2 metres further away from the tree. What angle does the line of sight to the top of the tree now make with the horizontal?
1. You are standing nearby a tree with your eyes 2 metres above the ground. The line of sight to the top of the tree makes an angle of 60° with the horizontal. This angle reduces to 45° when you step back 4 metres further away from the tree, (a) How tall is the tree? (b) Suppose that you then step back another 2 metres further away from the tree. What angle does the line of sight to the top of the tree now make with the horizontal?
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...
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
Transcribed Image Text:1. You are standing nearby a tree with your eyes 2 metres above the ground. The line
of sight to the top of the tree makes an angle of 60° with the horizontal. This angle
reduces to 45° when you step back 4 metres further away from the tree,
(a) How tall is the tree?
(b) Suppose that you then step back another 2 metres further away from the tree. What
angle does the line of sight to the top of the tree now make with the horizontal?
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