MathematicsTrigonometry (NTSE Stage1 (StateLevel) ScholasticAptitude & Language Comprehension): Questions 34  39 of 48
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Question number: 34
» Mathematics » Trigonometry
Question
For what value of k, the vertices (2, 1), (3, 3) and (5, k) form an equilateral triangle?
Choices
Choice (4)  Response  

a.  No such value exist 

b. 


c.  4 

d.  2 

Question number: 35
» Mathematics » Trigonometry
Question
ABC is triangle with . From A, a perpendicular AD is drawn on BC. Which one of the following is correct?
Choices
Choice (4)  Response  

a. 


b. 


c. 


d.  Question does not provide sufficient data or is vague 

Question number: 36
» Mathematics » Trigonometry
Question
If , then the value of is
Choices
Choice (4)  Response  

a.  3 

b.  ½ 

c.  2 

d.  1 

Question number: 37
» 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: 38
» 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: 39
» 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 
