MathematicsTrigonometry (NTSE Stage1 (StateLevel) ScholasticAptitude & Language Comprehension): Questions 16  22 of 51
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Question number: 16
» Mathematics » Trigonometry
Question
Given that and area of ∆ ABC = 16, area of ∆PQR = 9.
If PQ = 18 cm and BC = 12 cm. Then, AB and QR are, respectively
Choices
Choice (4)  Response  

a.  13.5 cm, 16 cm 

b.  9 cm, 24 cm 

c.  32 cm, 6.75 cm 

d.  24 cm, 9 cm 

Question number: 17
» Mathematics » Trigonometry
Question
In right ∆ABC, BC = 7 cm, AC  AB = 1 cm and ∠ B = 90°. The value of is
Choices
Choice (4)  Response  

a.  1/7 

b.  32/24 

c.  25/31 

d.  31/25 

Question number: 18
» Mathematics » Trigonometry
Question
The angles of elevations of the top of the tower from two points in the same straight line and at a distance of 9 m and 16 m from the base of the tower are complementary. The height of the tower is
Choices
Choice (4)  Response  

a.  18 m 

b.  10m 

c.  16m 

d.  12m 

Question number: 19
» Mathematics » Trigonometry
Question
The angles of a triangle are . Find the value of x.
Choices
Choice (4)  Response  

a.  22° 

b.  30° 

c.  25° 

d.  35° 

Question number: 20
» Mathematics » Trigonometry
Question
The value of is equal to
Choices
Choice (4)  Response  

a.  2 

b.  1 

c. 


d.  0 

Question number: 21
» Mathematics » Trigonometry
Question
If sin (θ + ϕ) = 2 sin (θ  ϕ), then
Choices
Choice (4)  Response  

a.  sin θ = 3 sin θ 

b.  sin ϕ =sin 2 θ 

c.  cot ϕ = 3 tan θ 

d.  tan θ = 3 tan ϕ 

Question number: 22
» Mathematics » Trigonometry
Question
∆ABC is a right angled at C and P is the length of the perpendicular from C to AB. If BC = a, AC = b, and AB = c, then
Choices
Choice (4)  Response  

a. 


b. 


c. 


d.  All of the above 
