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3D Trigonometry Worksheet A

Practice solving trigonometry problems in a 3D space with this worksheet. Includes various scenarios and calculations for angles and distances. Suitable for students studying trigonometry.

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3D Trigonometry Worksheet A

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  1. Trigonometry – 3D – Worksheet A The worksheet is in a 2 sizes.

  2. Printing To print handouts from slides - Select the slide from the left. Then click: File > Print > ‘Print Current Slide’ To print multiple slides - Click on a section title to highlight all those slides, or press ‘Ctrl’ at the same time as selecting slides to highlight more than one. Then click: File > Print > ‘Print Selection’ To print double-sided handouts - Highlight both slides before using ‘Print Selection’. Choose ‘Print on Both Sides’ and ‘Flip on Short Edge’.

  3. 1) Ahmed is 25 metres from a tree. The angle of elevation to the top of the tree (C) is 22° Billy is 35 metres from the tree. What is the angle of elevation to the top of the tree from where he is standing? C 22° 35 m 25 m B A

  4. 3D Trigonometry 2) ABCD is a football goal 5 metres wide. The ball (G) is directly in front of the left post. Calculate the height of the goal 1) Ahmed is 25 metres from a tree. The angle of elevation to the top of the tree (C) is 22° Billy is 35 metres from the tree. What is the angle of elevation to the top of the tree from where he is standing? 5 m A B C C D 22° 50° 35 m 25 m 65° G B A 3) A UFO is flying at the same height for 4 km. At A, it is 2 km away from C How far away is the UFO from C when it is at B? 4) ABCDEF is an isosceles-triangle-based prism. X is the midpoint of AC. Y is the midpoint of DF. Find the angle of depression from B to Y E A B 4 Km 2 Km B D F 56° 8 cm Y 28° 16° 24 cm C A C X

  5. 3D Trigonometry 2) ABCD is a football goal 5 metres wide. The ball (G) is directly in front of the left post. Calculate the height of the goal 1) Ahmed is 25 metres from a tree. The angle of elevation to the top of the tree (C) is 22° Billy is 35 metres from the tree. What is the angle of elevation to the top of the tree from where he is standing? 5 m A B m C metres 5 m C D 22° 50° 35 m 25 m 65° G B m A 3) A UFO is flying at the same height for 4 km. At A, it is 2 km away from C How far away is the UFO from C when it is at B? 4) ABCDEF is an isosceles-triangle-based prism. X is the midpoint of AC. Y is the midpoint of DF. Find the angle of depression from B to Y E A B 4 Km 2 Km B D F 56° 8 cm Y 28° 16° 24 cm C A C X

  6. 3D Trigonometry 2) ABCD is a football goal 5 metres wide. The ball (G) is directly in front of the left post. Calculate the height of the goal 1) Ahmed is 25 metres from a tree. The angle of elevation to the top of the tree (C) is 22° Billy is 35 metres from the tree. What is the angle of elevation to the top of the tree from where he is standing? 5 m A B m C metres 5 m C D 22° 50° 35 m 25 m 65° G B m A 3) A UFO is flying at the same height for 4 km. At A, it is 2 km away from C How far away is the UFO from C when it is at B? 4) ABCDEF is an isosceles-triangle-based prism. X is the midpoint of AC. Y is the midpoint of DF. Find the angle of depression from B to Y E A B 4 Km 2 Km cm B D F 56° 8 cm Y 28° 28° 16° 24 cm m C A C km X

  7. 3D Trigonometry 2) ABCD is a football goal 5 metres wide. The ball (G) is directly in front of the left post. Calculate the height of the goal 1) Ahmed is 25 metres from a tree. The angle of elevation to the top of the tree (C) is 22° Billy is 35 metres from the tree. What is the angle of elevation to the top of the tree from where he is standing? 5 m A B C C D 22° 50° 35 m 25 m 65° G B A 3) A UFO is flying at the same height for 4 km. At A, it is 2 km away from C How far away is the UFO from C when it is at B? 4) ABCDEF is an isosceles-triangle-based prism. X is the midpoint of AC. Y is the midpoint of DF. Find the angle of depression from B to Y E A B 4 Km 2 Km B D F 56° 8 cm Y 28° 16° 24 cm C A C X

  8. Questions? Comments? Suggestions? …or have you found a mistake!? Any feedback would be appreciated . Please feel free to email: tom@goteachmaths.co.uk

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