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##### 12. Two forces of 40 N and 30 N are represented by \overrightarrow{A B} and \overrightarrow{B C} which are inclined at an angle of 147^{\circ} 25^{\prime \prime} . Find \overrightarrow{A C}^{-} the resultant of \overrightarrow{A B} and \overrightarrow{B C} .

Q.3 If you are looking a bird in the tree from the ground then the angle form is the(a) angle of elevation(b) angle of depression(c) constant angle(d) right angle

12. The angle of elevation of the top of a 60 \mathrm{~m} high tower from a point A on the same level as the foot of the tower is 25^{\circ} . Find the angle of elevation of the top of the tower from a point B 20 \mathrm{~m} nearer to A from the foot of the tower.

1. Find the unknown angles and sides of the following triangles:

2. A man 18 \mathrm{dm} tall observes that the angle of elevation of the top of a tree at a distance of 12 \mathrm{~m} from him is 32 . What is the height of the tree?

Q.6 In a right triangle no angle is greater than(a) 90^{\circ} (b) 80^{\circ} (c) 60^{\circ} (d) 45^{\circ} Sahiwal Board 2013; Lahore Board 2008

Example 1: Solve the triangle A B C by using the law of cosine when a=7 b=3 c=5