Survey
* Your assessment is very important for improving the workof artificial intelligence, which forms the content of this project
* Your assessment is very important for improving the workof artificial intelligence, which forms the content of this project
Maths Quest A Year 11 for Queensland WorkSHEET 5.2 Chapter 5 Right-angled triangles and trigonometry WorkSHEET 5.2 1 Right-angled triangles and trigonometry Name: ___________________________ 1 With respect to the labelled angle, state: (a) hypotenuse (b) adjacent side (c) opposite side 2 3 Express the following angles in degrees, minutes and seconds. (a) 15.2 (b) 15 12 (c) (d) tan 1 6.25 sin 1 54 Calculate the following correct to two decimal places. 1 (a) tan 30 (b) (c) (d) 23 cos 4 5 75 sin 45 35 1 sin 67 5437 (a) Maths Quest A Year 11 for Queensland Chapter 5 Right-angled triangles and trigonometry WorkSHEET 5.2 2 4 Determine the length of the unknown side in the triangle above using: (a) Pythagoras’ Theorem (b) trigonometry 5 Find the values of unknown marked sides correct to two decimal places. 4 6 Find the value of angle correct to one decimal place. 2 Maths Quest A Year 11 for Queensland Chapter 5 Right-angled triangles and trigonometry WorkSHEET 5.2 3 7 A 6 m-long ladder rests against a vertical wall and forms an angle of 40° to the horizontal ground. How high up the wall does the ladder reach, correct to two decimal places? 2 8 A large heavy drum is pushed 3.5 m up an inclined plane. If the inclined plane rises 2 m vertically, find the angle the inclined plane makes with the horizontal. 2 9 A 1.08 m-tall child flies a kite with 100 m of released string which makes an angle of 70° with the horizontal. How high is the kite flying? 3 Maths Quest A Year 11 for Queensland 10 Chapter 5 Right-angled triangles and trigonometry WorkSHEET 5.2 The angle of depression of a boat from a cliff 60 m high is 10°. How far is the boat from the base of the cliff? 4 2