Mathematics-Trigonometry (NTSE Stage-2 (National-Level) Scholastic-Aptitude & Language Comprehension): Questions 7 - 11 of 14

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Question number: 7

» Mathematics » Trigonometry

MCQ▾

Question

In the given figure, CDAB . Find the value of y.

A triangle and other line-making angle with base of triangle

A Triangle and Other Line-Making Angle With Base of Triangle

Find the value of angle y by using trigonometric formula

Choices

Choice (4) Response
a.

72°

b.

79°

c.

74°

d.

77°

Question number: 8

» Mathematics » Trigonometry

MCQ▾

Question

Three circles each of radius r units are drawn inside an equilateral triangle of side a units, such that each circle touches the other two and two sides of the triangle as shown in the figure, (P, Q and R are the Centers of the three circles). Then, relation between r and a is

A triangle having three circles in it

A Triangle Having Three Circles in It

Find the relation between radius r and length of triangle’s side a

Choices

Choice (4) Response
a.

a=(3+2)r

b.

a=2(3+2)r

c.

a=2(3+1)r

d.

a=(3+1)r

Question number: 9

» Mathematics » Trigonometry

MCQ▾

Question

cosθsinθ1=______.

Choices

Choice (4) Response
a.

secθ + tanθ

b.

secθ - tanθ

c.

cosecθ + tanθ

d. Question does not provide sufficient data or is vague

Question number: 10

» Mathematics » Trigonometry

MCQ▾

Question

If the length of shadow of a pole on a level ground is twice the length of that pole, then the angle of elevation of the sun is

Choices

Choice (4) Response
a.

45°

b.

30°

c.

60°

d. None of the above

Question number: 11

» Mathematics » Trigonometry

MCQ▾

Question

If ⦟A=(3x5),⦟B=(5x+8)and⦟C=(7x3), then value of x in ∆ABC is

Choices

Choice (4) Response
a.

24°

b.

12°

c.

30°

d.

28°

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