1.In the following triangles, give the size or letter of:

(a) The adjacent side

(b) The opposite side

(c) The hypotenuse

(i) |
(ii) |
(iii) |

2. Use a calculator to find the following (give the ratios to 4 sig.fig. and the angles to 1 decimal place):

(a) tan 61^{o}(b) cos 24.3**°**

(c) sin 87.6**°**

(d) x if sin x = 0.5

(e) y if cos y = 0.3821

(f) z if tan z = 2.34

3. Use the trigonometric ratios to find the values of the sides and angles marked by letters. Round off your answers to 1 decimal place.

(a) |
(e) |

(b) |
(f) |

(c) |
(g) |

(d) |
(h) |

4. A man runs 70 m in a straight line up a hill that is inclined at an angle of 23**°**.

How much has he risen by at the end of his run?

5. A rectangular paddock has a diagonal 150 m long.

The diagonal makes an angle of 30**°** with the long side.

Sketch a diagram of the paddock and find the length of the short side.

6. A vertical television mast is 100 m high and is held up by wires attached to the top of the mast and to the flat ground. The wires are 120 m long.

What angle do they make with the mast?

7. Harry and Betty buy a tent. It has the cross-section shown in the diagram.

The centre pole is 1.8 m high.

How wide is their tent?