# First Year Math Application of Trigonometry

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

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

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

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

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

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