MathematicsTrigonometry (NTSE Stage1 (StateLevel) ScholasticAptitude & Language Comprehension): Questions 6  11 of 48
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Question number: 6
» Mathematics » Trigonometry
Question
There is a small Island in the middle of a 100 m wide river. There is tall tree on the Island. Points P and Q are directly opposite to each other on the two banks and in line with the tree. If the angles of elevation of the top of the tree at P and Q are 30° and 45°. Then, the height of tree is
Choices
Choice (4)  Response  

a.  50 ( + 1) m 

b.  50 ( 1) m 

c.  50 m 

d.  None of the above 

Question number: 7
» Mathematics » Trigonometry
Question
ABC is equal to 45° as shown in the adjoining figure. If AC/AB =
, then BAC is equal to
Choices
Choice (4)  Response  

a.  95° 

b.  100° 

c.  105° 

d.  110° 

Question number: 8
» Mathematics » Trigonometry
Question
If sin B = 1/2
then 3 cos B  4 cos ^{3} B is equal to
Choices
Choice (4)  Response  

a. 
 
b.  1 

c.  0 

d. 

Question number: 9
» Mathematics » Trigonometry
Question
The string of a kite is 150 m long and it makes an angle of 60° with the horizontal. The height of the kite from the ground is
Choices
Choice (4)  Response  

a.  75 3 m 

b.  75/3 m 

c.  150 3 m 

d.  None of the above 

Question number: 10
» Mathematics » Trigonometry
Question
The angles of a triangle are x, y and z and such that yx = zy = 15, then value of y will be
Choices
Choice (4)  Response  

a.  75° 

b.  60° 

c.  50° 

d.  70° 

Question number: 11
» Mathematics » Trigonometry
Question
If cot A = 1 (√ 2  1)
, then the value of sin A x cos A is
Choices
Choice (4)  Response  

a.  1/4 

b. 
 
c.  1/2 

d. 

