MathematicsTrigonometry (NTSE Stage1 (StateLevel) ScholasticAptitude & Language Comprehension): Questions 18  24 of 51
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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 

Question number: 23
» Mathematics » Trigonometry
Question
From a window (h m above from the ground) of a house in a street, the angle of elevation and depression of the top and the foot of another house on the opposite side of the street are θ and ϕ, respectively. Then, the height of the opposite house is
Choices
Choice (4)  Response  

a.  h cot θ tan ϕ 

b.  h (cot θ tan ϕ + 1) 

c.  h tan θ cot ϕ 

d.  h (tan θ cot ϕ + 1) 

Question number: 24
» Mathematics » Trigonometry
Question
A certain distance is covered at a certain speed. If half of this distance is covered in triple the time, the ratio of the two speeds is
Choices
Choice (4)  Response  

a.  6: 1 

b.  1: 1 

c.  3: 1 

d.  2: 1 
