Mathematics-Trigonometry (NTSE Stage-1 (State-Level) Scholastic-Aptitude & Language Comprehension): Questions 6 - 11 of 48

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Question number: 6

» Mathematics » Trigonometry

MCQ▾

Question

There is a small Island in the middle of a 100 m wide river. There is tall tree on the Island. Points P and Q are directly opposite to each other on the two banks and in line with the tree. If the angles of elevation of the top of the tree at P and Q are 30° and 45°. Then, the height of tree is

Choices

Choice (4) Response
a.

50 ( 3 + 1) m

b.

50 ( 3 -1) m

c.

50 3 m

d. None of the above

Question number: 7

» Mathematics » Trigonometry

MCQ▾

Question

ABC is equal to 45° as shown in the adjoining figure. If AC/AB =

2

, then BAC 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.

95°

b.

100°

c.

105°

d.

110°

Question number: 8

» Mathematics » Trigonometry

MCQ▾

Question

If sin B = 1/2

then 3 cos B - 4 cos 3 B is equal to

Choices

Choice (4) Response
a. 52
b.

1

c.

0

d. 34

Question number: 9

» Mathematics » Trigonometry

MCQ▾

Question

The string of a kite is 150 m long and it makes an angle of 60° with the horizontal. The height of the kite from the ground is

Choices

Choice (4) Response
a.

75 3 m

b.

75/3 m

c.

150 3 m

d. None of the above

Question number: 10

» Mathematics » Trigonometry

MCQ▾

Question

The angles of a triangle are x, y and z and such that y-x = z-y = 15, then value of y will be

Choices

Choice (4) Response
a.

75°

b.

60°

c.

50°

d.

70°

Question number: 11

» Mathematics » Trigonometry

MCQ▾

Question

If cot A = 1 (√ 2 - 1)

1(21)

, then the value of sin A x cos A is

Choices

Choice (4) Response
a.

1/4

b. 1503m
c.

1/2

d.

24

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