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
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: 41
» Mathematics » Trigonometry
Question
The value of is equal to
Choices
Choice (4) | Response | |
---|---|---|
a. | 2 | |
b. | 1 | |
c. |
| |
d. | 0 |
Question number: 42
» Mathematics » Trigonometry
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
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 . When the point is moved 240 m towards the light house, the angle of elevation become ϕsuch that tan ϕ = . 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
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: 45
» Mathematics » Trigonometry
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) |