Question1. Determine the measure of angle $\theta$ to the nearest degree. a) b)
2. A triangular plot of land is enclosed by a fence. Two sides of the fence are 9.8 m and 6.6 m long, respectively. The other side forms an angle of $40^{\circ}$ with the 9.8 m side. a) Draw a sketch of the situation. b) Calculate the height of the triangle to the nearest tenth. Compare it to the given sides. c) How many lengths are possible for the third side? Explain.
3. Determine whether it is possible to draw a triangle, given each set of information. Sketch all possible triangles where appropriate. Label all side lengths to the nearest tenth of a centimetre and all angles to the nearest degree. a) $a=5.2 \mathrm{~cm}, b=2.8 \mathrm{~cm}, \angle B=65^{\circ}$ b) $b=6.7 \mathrm{~cm}, c=2.1 \mathrm{~cm}, \angle C=63^{\circ}$ c) $a=5.0 \mathrm{~cm}, c=8.5 \mathrm{~cm}, \angle A=36^{\circ}$
PRACTISING
4. Determine the measure of angle $\theta$ to the nearest degree. a) b)
5. Where appropriate, sketch all possible triangles, given each set of K information. Label all side lengths to the nearest tenth of a centimetre and all angles to the nearest degree. a) $a=7.2 \mathrm{~mm}, b=9.3 \mathrm{~mm}, \angle A=35^{\circ}$ b) $a=7.3 \mathrm{~m}, b=14.6 \mathrm{~m}, \angle A=30^{\circ}$ c) $a=1.3 \mathrm{~cm}, b=2.8 \mathrm{~cm}, \angle A=33^{\circ}$ d) $c=22.2 \mathrm{~cm}, \angle A=75^{\circ}, \angle B=43^{\circ}$