MathematicsTrigonometry (NTSE Stage1 (StateLevel) ScholasticAptitude & Language Comprehension): Questions 23  27 of 51
Get 1 year subscription: Access detailed explanations (illustrated with images and videos) to 1058 questions. Access all new questions we will add tracking exampattern and syllabus changes. View Sample Explanation or View Features.
Rs. 450.00 or
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 

Question number: 25
» Mathematics » Trigonometry
Question
Two parallel lines AB and CD are intersected by a transversal line EF at M and N, respectively. The lines MP and NP are the bisectors of the interior angles BMN and DNM on the same side of the transversal. Then, ∠MPN is equal to
Choices
Choice (4)  Response  

a.  90° 

b.  135° 

c.  45° 

d.  60° 

Question number: 26
» Mathematics » Trigonometry
Question
If and , α and β lies between 0 and , then the value of tan 2α is
Choices
Choice (4)  Response  

a. 


b. 


c. 


d. 


Question number: 27
» Mathematics » Trigonometry
Question
is equal to as shown in the adjoining figure. If , then is equal to
Choices
Choice (4)  Response  

a. 


b. 


c. 


d. 

