1. The three points A = (-2, -4), B= (6,2) and C = (-3,3) are taken as the vertices of a triangle T. (a) Find the equations of the three altitudes of T. (b) Determine the orthocentre X of T.

Elementary Geometry For College Students, 7e
7th Edition
ISBN:9781337614085
Author:Alexander, Daniel C.; Koeberlein, Geralyn M.
Publisher:Alexander, Daniel C.; Koeberlein, Geralyn M.
ChapterP: Preliminary Concepts
SectionP.CT: Test
Problem 1CT
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1. The three points A = (-2, -4), B = (6,2) and C = (-3,3) are taken as the vertices of
a triangle T.
(a) Find the equations of the three altitudes of T.
(b) Determine the orthocentre X of T.
2. A ball is thrown from a height of 1.5 metres on the Moon with an initial (upwards)
vertical component of velocity of 20 metres per second. You may assume that the
acceleration due to gravity on the Moon is gmoon = 1.62 metres per second per second.
(a) How long does the ball take to reach the ground?
(b) After how long does it reach its maximum height and what is this?
(c) The ball hits the ground at a horizontal distance of 100 metres from where it was
thrown. What was the horizontal component of its velocity?
Transcribed Image Text:1. The three points A = (-2, -4), B = (6,2) and C = (-3,3) are taken as the vertices of a triangle T. (a) Find the equations of the three altitudes of T. (b) Determine the orthocentre X of T. 2. A ball is thrown from a height of 1.5 metres on the Moon with an initial (upwards) vertical component of velocity of 20 metres per second. You may assume that the acceleration due to gravity on the Moon is gmoon = 1.62 metres per second per second. (a) How long does the ball take to reach the ground? (b) After how long does it reach its maximum height and what is this? (c) The ball hits the ground at a horizontal distance of 100 metres from where it was thrown. What was the horizontal component of its velocity?
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