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The angle of elevation of the top of a tower from a certain point is $30 °$ . If the observer moves 20 m towards the tower, the angle of elevation of the top of the tower increases by $15 °$ . The height of the tower is :

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Important Questions on Trigonometry

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Mathematics>Geometry>Trigonometry>Trigonometric Ratios

\sin (α + β) = 1, \sin (α - β) = \frac{1}{2}, α, β \in [0, \frac{π}{2}]

then the value of

\tan (α + 2 β) \tan (2 α + β)

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Mathematics>Geometry>Trigonometry>Trigonometric Ratios

The value of

\cot \frac{π}{24}

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Mathematics>Geometry>Trigonometry>Trigonometric Ratios

Let $P = (θ : \sin θ - \cos θ = \sqrt{2} \cos θ}$ and $Q = {θ : \sin θ + \cos θ = \sqrt{2} \sin θ}$ be two sets. Then,

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Mathematics>Geometry>Trigonometry>Trigonometric Ratios

The value of

\cos 10 ° \cos 30 ° \cos 50 ° \cos 70 ° \cos 90 °

is:

EASY

Mathematics>Geometry>Trigonometry>Trigonometric Ratios

What is the simplified value of

{(\frac{1}{cosec A + \cot A})}^{2}

MEDIUM

Mathematics>Geometry>Trigonometry>Trigonometric Ratios

The value of

(\cos e c 30 ° - \tan 45 °) c o t 60 ° \tan 30 °

is:

EASY

Mathematics>Geometry>Trigonometry>Trigonometric Ratios

The approximate value of

\sin 31 °

EASY

Mathematics>Geometry>Trigonometry>Trigonometric Ratios

Solve the following.

\sin 0 ° \sin 30 ° \sin 45 ° \sin 60 ° \sin 90 ° = ?

EASY

Mathematics>Geometry>Trigonometry>Trigonometric Ratios

If $3 \sin θ = 2 \cos^{2} θ, 0^{0} < θ < 90^{0}$ . Then the value of $(\tan^{2} θ + s e c^{2} θ - \cos e c^{2} θ)$ is:

MEDIUM

Mathematics>Geometry>Trigonometry>Trigonometric Ratios

Two vertical poles

A B = 15 m

and

C D = 10 m

are standing apart on a horizontal ground with points

A

and

C

on the ground. If

P

is the point of intersection of

B C

and

A D

, then the height of

P

(in

m

) above the line

A C

is:

EASY

Mathematics>Geometry>Trigonometry>Trigonometric Ratios

What is the value of

\frac{cosec (78^{o} + θ) - \sec (12^{o} - θ) - \tan (67^{o} + θ) + \cot (23^{o} - θ)}{\tan 13^{o} \tan 37^{o} \tan 45^{o} \tan 53^{o} \tan 77^{o}}

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Mathematics>Geometry>Trigonometry>Trigonometric Ratios

The angle of the top of a vertical tower standing on a horizontal plane is observed to be

45 °

from a point A on the plane. Let

B

be the point

30 m

vertically above the point A. If the angle of elevation of the top of the tower from

B

30 °

, then the distance (in m) of the foot of the tower from the point

A

is:

MEDIUM

Mathematics>Geometry>Trigonometry>Trigonometric Ratios

5 \sin (θ) = 4

, then the value of

\frac{secθ + 4 cotθ}{4 tanθ - 5 cosθ}

is:

MEDIUM

Mathematics>Geometry>Trigonometry>Trigonometric Ratios

In a triangle

A B C

, the altitude

A D

and the median

A E

divide

∠ A

into three equal parts. If

B C = 28

, then the nearest integer to

A B + A C

EASY

Mathematics>Geometry>Trigonometry>Trigonometric Ratios

The value of

\frac{\sin 30 ° \sin 60 °}{\cos 60 ° \cos 30 °} - \tan 45 °

is:

EASY

Mathematics>Geometry>Trigonometry>Trigonometric Ratios

Solve the following.

(\frac{\sin 27 °}{\cos 63 °}) - {(\frac{\cos 27 °}{\sin 63 °})}^{2}

EASY

Mathematics>Geometry>Trigonometry>Trigonometric Ratios

In the right triangle shown in the figure, what is the value of

\cos e c θ

EASY

Mathematics>Geometry>Trigonometry>Trigonometric Ratios

\frac{\sin θ}{1 - \cot θ} + \frac{\cos θ}{1 - \tan θ} =

EASY

Mathematics>Geometry>Trigonometry>Trigonometric Ratios

\cos^{2} θ - \sin θ = \frac{1}{4}

, then what is the value of

\sin θ

HARD

Mathematics>Geometry>Trigonometry>Trigonometric Ratios

Suppose ABCDEF is a hexagon such that

A B = B C = C D = 1

and

D E = E F = F A = 2

. If the vertices

A, B, C, D, E, F

are concylic, the radius of the circle passing through them is-

The angle of elevation of the top of a tower from a certain point is 30° . If the observer moves 20 m towards the tower, the angle of elevation of the top of the tower increases by 15° . The height of the tower is :

Important Questions on Trigonometry

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The angle of elevation of the top of a tower from a certain point is $30 °$ . If the observer moves 20 m towards the tower, the angle of elevation of the top of the tower increases by $15 °$ . The height of the tower is :