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Question 18. The diagram below shows a tree standing on the north bank of a river with straight parallel banks unning east to west. The angle of elevation of the top of a tree is 28° when measured from a point A on the south bank and distant 3 metres to the west of the tree. From another point B on the south bank and distant 5 metres to the east of the tree, the angle of elevation of the tree is 19°. (2+5 )(2-5 (a) Complete the diagram, showing all the given information. (b) Show that x2 - y² = 16. %3D

Question 18. The diagram below shows a tree standing on the north bank of a river with straight parallel banks unning east to west. The angle of elevation of the top of a tree is 28° when measured from a point A on the south bank and distant 3 metres to the west of the tree. From another point B on the south bank and distant 5 metres to the east of the tree, the angle of elevation of the tree is 19°. (2+5 )(2-5 (a) Complete the diagram, showing all the given information. (b) Show that x2 - y² = 16. %3D

Trigonometry (11th Edition)
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°.
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Year 12 Maths Extension 1 (c) Hence show that the height, H in metres, of the tree is given by 4 H = Vcot2 19°-cot2 28° (d) Hence find the width of the river correct to the nearest centimetre. 1471 (e) From a point half-way between A and B, find the angle of elevation of the top of the tree
Transcribed Image Text:Year 12 Maths Extension 1 (c) Hence show that the height, H in metres, of the tree is given by 4 H = Vcot2 19°-cot2 28° (d) Hence find the width of the river correct to the nearest centimetre. 1471 (e) From a point half-way between A and B, find the angle of elevation of the top of the tree
Question 18. The diagram below shows a tree standing on the north bank of a river with straight parallel banks unning east to west. The angle of elevation of the top of a tree is 28° when measured from a point A on the south bank and distant 3 metres to the west of the tree. From another point B on the south bank and distant 5 metres to the east of the tree, the angle of elevation of the tree is 19°. (245 )(2-F A 3 ज (a) Complete the diagram, showing all the given information. (b) Show that x2 - y² = 16. %3D
Transcribed Image Text:Question 18. The diagram below shows a tree standing on the north bank of a river with straight parallel banks unning east to west. The angle of elevation of the top of a tree is 28° when measured from a point A on the south bank and distant 3 metres to the west of the tree. From another point B on the south bank and distant 5 metres to the east of the tree, the angle of elevation of the tree is 19°. (245 )(2-F A 3 ज (a) Complete the diagram, showing all the given information. (b) Show that x2 - y² = 16. %3D
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