1. PAKTURK Success is a ladder you cannot climb with your hands in your pockets 1
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CLASS
XI
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Composed by Engin Baştürk FEDERAL BOARD
TYPE Objective Application of Trigonometry No 1
Q1: Find the value of sin38 24
A) 0.6262 B) 0.6211 C) 0.6112 D) 0.6012
Q2: Find the value of sin38 28
A) 0.6212 B) 0.6240 C) 0.6220 D) 0.6230
Q3: Find the value of sin65 30
A) 3.1235 B) 0.900 C) 1.1943 D) 0.909
Q4: If sin 0.5100x  , find x
A) 30 40 B) 20 30 C) 10 45 D) 14 55
Q5: Find the value of sin53 340
A) 0.0856 B) 0.6580 C) 0.5680 D) 0.8056
Q6: Find the value of cos36 20
A) 0.3456 B) 0.3541 C) 0.8055 D) 0.3241
Q7: Find the value of cot33 50
A) 1.4950 B) 1.4357 C) 2.0103 D) 3.1276
Q8: Find the value of tan65 30
A) 3.1235 B) 2.1943 C) 1.1943 D) 2.1345
Q9: If sin 0.5791  , find 
A) 35 23 B) 33 22 C) 31 45 D) 34 51
Q10: If cos 0.5257  , find 
A) 55 43 B) 55 26 C) 58 17 D) 58 51

2. PAKTURK Success is a ladder you cannot climb with your hands in your pockets 2
Q11: If tan 1.705  , find 
A) 45 43 B) 59 59 C) 59 36 D) 56 54
Q12: Find the value of c in ABC if 3.2a  , 5.74b 
and 90  
A) 9.18 B) 6.73 C) 5.91 D) 6.98
Q13: Find the measure of 6.73 in given triangle?
A) 16 B) 4 2 C) 8 2 D) 16 2
Q14: Find the measure of 6.73 in given triangle?
A) 12 3 B) 9 3 C) 8 3 D) 4 3
Q15: A vertical pole is 8 m high and the length of its shadow
is 6 m. What is the angle of elevation of the Sun at that
moment?
A) 51 B) 52 C) 53 D) 54
Q16: A ladder leaning against a vertical wall makes an angle
of 24 with the wall. Its foot is 5 m from the wall. Find the
length.
A) 12.29m B) 12.12m C) 11.49m D) 10.64m
Q17:
tan
2 ..................
tan
2
 
 



A)
b c
b c


B)
a c
a c


C)
b c
b c


D)
a b
a b


Q18:
tan
2 ..................
tan
2
 
 



A)
2c
a b
B)
a b
a b


C)
2
a b
c

D)
a b
a b


Q19:
tan
2 ..................
tan
2
 
 



A)
c a
c a


B)
c b
c b


C)
a b
a b


D)
a c
a c


Q20: Which of the following is the law of sines?
A)
sin sin sin
a b c
  
  B)
sin sin sin
b c a
  
 
C)
3 2 1
sin sin sin  
  D)
sin 2 sin 2 sin 2
a b c
  
 
Answer Key
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