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Territorial Army Officers Exam Elementary Mathematics Study Material

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Trigonometry

What is theodolite?

a) A Medical equipment
b) An Astronomical instrument
c) A Survey Equipment
d) None of these

✔Answer

Correct Answer Is : A Survey Equipment

Solution Is :

Find the height of the tower which casts a shadow of length 30 m, when the altitude of the sun is 60°

a) 15.32 approx.
b) 16.32 approx.
c) 17.32 approx.
d) 18.32 approx.

✔Answer

Correct Answer Is : 17.32 approx.

Solution Is :

State whether the length of shadow of a tomb is √3 times its height and the Sun`s altitude is 45°

a) Yes
b) No
c) Sometime
d) None of these

✔Answer

Correct Answer Is : No

Solution Is :

Calculate the height of the tower, if the sun`s elevation is 30° and the distance of shadow of the tower is 60 m

a) 30√3 m
b) 30√2 m
c) 20√3 m
d) 20√2 m

✔Answer

Correct Answer Is : 30√3 m

Solution Is :

If two ships are at a distance of 75(√3-1) m and the angle of depression from the light house are 30° and 45°. Find the height of the light house?

a) 50 m
b) 50√3 m
c) 75
d) 75√3 m

✔Answer

Correct Answer Is : 75

Solution Is :

Decide, if the height the building is 50 m, then the angle of elevation to the building roof is 45° and the distance from the building is 41 m?

a) Yes
b) No
c) Sometime
d) None of these

✔Answer

Correct Answer Is : No

Solution Is :

Specify the line drawn from the eye of an observer to the point of the object?

a) Line of sight
b) Line of object
c) Line of vision
d) None of these

✔Answer

Correct Answer Is : Line of sight

Solution Is :

If the Sun`s elevation is 60°, a pole of 3m high casts a shadow of √3 m long on the floor.

a) Yes
b) No
c) Sometimes
d) None of these

✔Answer

Correct Answer Is : Yes

Solution Is :

Find the length of the kite string, the kite is flying at 120 m above the ground with the elevation of 30°?

a) 30 m
b) 60 m
c) 100 m
d) 120 m

✔Answer

Correct Answer Is : 60 m

Solution Is :

Find the height of the tower which casts a shadow of length 60 m and altitude of sun is 45°

a) 50 m
b) 30 m
c) 60 m
d) 40 m

✔Answer

Correct Answer Is : 60 m

Solution Is :

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Territorial Army Officers Exam Elementary Mathematics Study Material

Trigonometry

What is theodolite?

Correct Answer Is : A Survey Equipment

Solution Is :

Find the height of the tower which casts a shadow of length 30 m, when the altitude of the sun is 60°

Correct Answer Is : 17.32 approx.

Solution Is :

State whether the length of shadow of a tomb is √3 times its height and the Sun`s altitude is 45°

Correct Answer Is : No

Solution Is :

Calculate the height of the tower, if the sun`s elevation is 30° and the distance of shadow of the tower is 60 m

Correct Answer Is : 30√3 m

Solution Is :

If two ships are at a distance of 75(√3-1) m and the angle of depression from the light house are 30° and 45°. Find the height of the light house?

Correct Answer Is : 75

Solution Is :

Decide, if the height the building is 50 m, then the angle of elevation to the building roof is 45° and the distance from the building is 41 m?

Correct Answer Is : No

Solution Is :

Specify the line drawn from the eye of an observer to the point of the object?

Correct Answer Is : Line of sight

Solution Is :

If the Sun`s elevation is 60°, a pole of 3m high casts a shadow of √3 m long on the floor.

Correct Answer Is : Yes

Solution Is :

Find the length of the kite string, the kite is flying at 120 m above the ground with the elevation of 30°?

Correct Answer Is : 60 m

Solution Is :

Find the height of the tower which casts a shadow of length 60 m and altitude of sun is 45°

Correct Answer Is : 60 m

Solution Is :

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