Mathematics-Trigonometry (NTSE Stage-1 (State-Level) Scholastic-Aptitude & Language Comprehension): Questions 40 - 45 of 48

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Question number: 40

» Mathematics » Trigonometry

MCQ▾

Question

The angles of a triangle are 3x0,(2x7)°and(4x11)° . Find the value of x.

Choices

Choice (4) Response
a.

22°

b.

30°

c.

25°

d.

35°

Question number: 41

» Mathematics » Trigonometry

MCQ▾

Question

The value of sin30°+cos60° is equal to

Choices

Choice (4) Response
a.

2

b.

1

c.

2

d.

0

Question number: 42

» 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: 43

» Mathematics » Trigonometry

MCQ▾

Question

The angle of elevations ’G of the top of a light house at a point ‘A’ on the ground is such that tan θ is 512 . When the point is moved 240 m towards the light house, the angle of elevation become ϕsuch that tan ϕ = 34 . Then, the height of light house is

Choices

Choice (4) Response
a.

200 m

b.

235 m

c.

215 m

d.

225 m

Question number: 44

» 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.

ab=pc

b.

pc=ab

c.

1a+1b=1ab

d. All of the above

Question number: 45

» 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)

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