Mathematics-Trigonometry (NTSE Stage-1 (State-Level) Scholastic-Aptitude & Language Comprehension): Questions 23 - 27 of 51

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Question number: 23

» Mathematics » Trigonometry

MCQ▾

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

MCQ▾

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

MCQ▾

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

MCQ▾

Question

If Equation and Equation , α and β lies between 0 and Equation , then the value of tan 2α is

Choices

Choice (4) Response

a.

Equation

b.

Equation

c.

Equation

d.

Equation

Question number: 27

» Mathematics » Trigonometry

MCQ▾

Question

Equation is equal to Equation as shown in the adjoining figure. If Equation Equation , then Equation is equal to

A triangle with given value of an angle

A Triangle With Given Value of an Angle

Find the value of given angle by using given values

Choices

Choice (4) Response

a.

Equation

b.

Equation

c.

Equation

d.

Equation

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