MathematicsTrigonometry (NTSE Stage2 (NationalLevel) ScholasticAptitude & Language Comprehension): Questions 1  6 of 14
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Question number: 1
» Mathematics » Trigonometry
Appeared in Year: 2013
Question
∆ ABC is an equilateral triangle of side cms.
P is any point in the interior of ∆ ABC. If x, y, z are the distances of P from the sides of the triangle, then x + y + z =
Choices
Choice (4)  Response  

a.  2 + cms. 

b.  4 cms. 

c.  3 cms. 

d.  5 cms. 

Question number: 2
» Mathematics » Trigonometry
Appeared in Year: 2013
Question
The value of tan 1° tan2° tan3°……. tan 89° is
Choices
Choice (4)  Response  

a.  0 

b.  0.5 

c.  2 

d.  1 

Question number: 3
» Mathematics » Trigonometry
Question
The shadow of a tower is 15 m, when the Sun’s elevation is 30°. What is the length of the shadow, when the Sun’s elevation is 60°?
Choices
Choice (4)  Response  

a.  4 m 

b.  3 m 

c.  6 m 

d.  5 m 

Question number: 4
» Mathematics » Trigonometry
Question
If then the value of is
Choices
Choice (4)  Response  

a.  45/54 

b.  49/64 

c.  49/74 

d.  40/65 

Question number: 5
» Mathematics » Trigonometry
Question
A tower stands vertically on the ground. From a point on the ground which is 30 m away from the foot of a tower, the angle of elevation of the top of the tower is found to be 45°. The height of the tower is
Choices
Choice (4)  Response  

a.  30 m 

b.  28 m 

c.  35 m 

d.  32 m 

Question number: 6
» Mathematics » Trigonometry
Question
The points (2, 2), (6, 3) and (4, 11) are the vertices of
Choices
Choice (4)  Response  

a.  an equilateral triangle 

b.  a right angled triangle 

c.  an isosceles triangle 

d.  a scalene triangle 
