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Level 1

Level 1. Fill in the blanks:. a). …… 60° = 8/x. x. x …… 60° = 8 x = …….. cm. x°. 60°. 8cm. b). sinx = 1 x = sin -1 (1) x = ........ °. y°. 2) True or False?. a) Angle of Depression = y° b) Angle of Elevation = x°. I can recall key aspects of Trigonometry.   .

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Level 1

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  1. Level 1 Fill in the blanks: a) …… 60° = 8/x x x …… 60° = 8 x = …….. cm x° 60° 8cm b) sinx = 1 x = sin-1(1) x = ........ ° y° 2) True or False? a) Angle of Depression = y° b) Angle of Elevation = x° I can recall key aspects of Trigonometry    c) x = y CHECK ANSWERS

  2. ladder 12m 30o Level 2 1) Chris needs to use a ladder to fix a television aerial on the roof of his building, which has a height of 12m. Considering his ladder just reaches the top, calculate the length of the ladder. A man in a boat sees the top of a lighthouse at an angle of 20 degrees above the horizon. He knows that the lighthouse is 165 feet tall. Approximately, how far away is he from the lighthouse? 2) 165 feet I can apply trigonometry to practical scenarios 20°    CHECK ANSWERS

  3. Level 3 1) A reckless skier travels in a straight line down a steep hill with a 70° angle of depression, skiing a total distance of 1300m. If he ends up at ground level, what was his elevation to begin with? Chris needs to use a ladder to put up a television aerial on the wall of the house. The ladder is 5m long and has to reach 4.8m up the wall. Health & Safety dictates that the angle between the ladder and ground should be between 70 ° and 76°. Can Chris use the ladder safely? What other assumption must you have made? CHECK ANSWERS I can analyse and investigate real-life scenarios involving trigonometry • Extension: • -Consider a cube with sides 4cm, what is the angle of • elevation from one of the bottom corners to its • diagonallyopposite top corner? • -Can you create your own problem involving trigonometry?   

  4. Level 1 Fill in the blanks: a) …… 60° = 8/x x x …… 60° = 8 x = …….. cm 60° x° 8cm b) sinx = 1 x = sin-1(1) x = ........ ° y° 2) True or False? a) Angle of Depression = y° b) Angle of Elevation = x° c) x = y Answers a) cos, x = 16cm b) x = 90° 2) All true

  5. ladder 12m 30o Level 2 1) Chris needs to use a ladder to fix a television aerial on the roof of his building, which has a height of 12m. Considering his ladder just reaches the top, calculate the length of the ladder. A man in a boat sees the top of a lighthouse at an angle of 20 degrees above the horizon. He knows that the lighthouse is 165 feet tall. Approximately, how far away is he from the lighthouse? 2) 165 feet 20° Answers 24m 453.33ft (2.d.p)

  6. Level 3 1) A reckless skier travels in a straight line down a steep hill with a 70° angle of depression, skiing a total distance of 1300m. If he ends up at ground level, what was his elevation to begin with? Chris needs to use a ladder to put up a television aerial on the wall of the house. The ladder is 5m long and has to reach 4.8m up the wall. Health & Safety dictates that the angle between the ladder and ground should be between 70 ° and 76°. Can Chris use the ladder safely? What other assumption must you have made? Answers 1221.6m (1.d.p) Assuming has taken shortest route to bottom

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