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First Year Math Application of Trigonometry


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2.Findθif:iii)cosθ=0.52572. Find \theta if:iii) \cos \theta=0.5257

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
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

Q.3Ifyouarelookingabirdinthetreefromthegroundthentheangleformisthe(a)angleofelevation(b)angleofdepression(c)constantangle(d)rightangleQ.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.
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.

12.Theangleofelevationofthetopofa60 mhightowerfromapointAonthesamelevelasthefootofthetoweris25.FindtheangleofelevationofthetopofthetowerfromapointB20 mnearertoAfromthefootofthetower.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:
1. Find the unknown angles and sides of the following triangles:

1.Findtheunknownanglesandsidesofthefollowingtriangles: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?
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?

2.Aman18dmtallobservesthattheangleofelevationofthetopofatreeatadistanceof12 mfromhimis32.Whatistheheightofthetree?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
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

Q.6Inarighttrianglenoangleisgreaterthan(a)90(b)80(c)60(d)45SahiwalBoard2013;LahoreBoard2008Q.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
Example 1: Solve the triangle  A B C  by using the law of cosine when  a=7 b=3 c=5

Example1:SolvethetriangleABCbyusingthelawofcosinewhena=7b=3c=5Example 1: Solve the triangle A B C by using the law of cosine when a=7 b=3 c=5

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