# Mathematics-Trigonometry (NTSE Stage-1 (State-Level) Scholastic-Aptitude & Language Comprehension): Questions 18 - 24 of 51

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## Question number: 18

» Mathematics » Trigonometry

MCQ▾

### 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

## Question number: 19

» Mathematics » Trigonometry

MCQ▾

### Question

The angles of a triangle are . Find the value of x.

### Choices

Choice (4) Response

a.

22°

b.

30°

c.

25°

d.

35°

## Question number: 20

» Mathematics » Trigonometry

MCQ▾

### Question

The value of is equal to

### Choices

Choice (4) Response

a.

2

b.

1

c.

d.

0

## Question number: 21

» Mathematics » Trigonometry

MCQ▾

### Question

If sin (θ + ϕ) = 2 sin (θ - ϕ), then

### Choices

Choice (4) Response

a.

sin θ = 3 sin θ

b.

sin ϕ =sin 2 θ

c.

cot ϕ = 3 tan θ

d.

tan θ = 3 tan ϕ

## Question number: 22

» Mathematics » Trigonometry

MCQ▾

### Question

∆ABC is a right angled at C and P is the length of the perpendicular from C to AB. If BC = a, AC = b, and AB = c, then

### Choices

Choice (4) Response

a.

b.

c.

d.

All of the above

## 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

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