MathematicsTrigonometry (NTSE Stage1 (StateLevel) ScholasticAptitude & Language Comprehension): Questions 29  33 of 48
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Question number: 29
» Mathematics » Trigonometry
Question
is a right angled at Q. If X and Y are the midpoints of the sides PQ and QR respectively, then which one of the following is correct?
Choices
Choice (4)  Response  

a.  RX ^{2} + PY ^{2} = 5XY ^{2}  
b.  4 (RX ^{2} + PY ^{2}) = 5PR ^{2}  
c.  RX ^{2} + PY ^{2} = 3 {PQ ^{2} + QR ^{2})  
d.  None of the above 
Question number: 30
» Mathematics » Trigonometry
Question
If a flagstaff of 6 m high placed on the top of a tower throws a shadow of along the ground, then the angle that the Sun makes with the ground, is
Choices
Choice (4)  Response  

a.  90°  
b.  30°  
c. 
60°  
d.  45° 
Question number: 31
» Mathematics » Trigonometry
Question
If = , then which of the following expressions must necessarily be true?
Choices
Choice (4)  Response  

a.  tan x + tan y + tan z  
b.  cos x + cos y + cos z  
c. 
 
d. 

Question number: 32
» Mathematics » Trigonometry
Question
A triangle formed by the points A (2, 5), B (3, 8) and C (x, y). If the centroid of the triangle is (3, 5), what is the coordinate of point C?
Choices
Choice (4)  Response  

a.  (4, 2)  
b.  (2, 4)  
c.  (4, 2)  
d.  None of the above 
Question number: 33
» Mathematics » Trigonometry
Question
An aero plane flying at a height of 300 m above the ground phase vertically above another plane at an instant when the angle of elevation of the two planes from the same point on the ground are 60° and 45°, respectively. The height of the lower plane from the ground (in m) is
Choices
Choice (4)  Response  

a. 
 
b. 
 
c.  150  
d. 
