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?

Mathematics For Machine Technology
8th Edition
ISBN:9781337798310
Author:Peterson, John.
Publisher:Peterson, John.
Chapter29: Tolerance, Clearance, And Interference
Section: Chapter Questions
Problem 21A
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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?
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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