Math Chapter Wise

EnglishEMRS PGT-2023

Q01.The angle of elevation of the top of a vertical tower standing on a horizontal plane is observed to be 45º from a point A on the plane. Let B be the points 30 m vertically above the point A. If the angle of elevation of the top of the tower from B be 30º, then the distance (in m) of the foot of the tower from the points A is:

A−15 ( )/5 3 B−15 ( )/3 3 C−15 ( )/1 3 D15 () 3 3 +

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EnglishEMRS TGT-2023

Q02.A ladder 14 m long just reaches the top of a vertical wall. If the ladder makes an angle of 60º with the wall, then the height of the wall is:

A7 m B14 m C7 3 m D14 3 m

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EnglishOAVS TGT 2019

Q03.From a point P on a level ground, the angle of elevation of the top tower is 30º. If the tower is 170 m high, the distance of point P from the foot of the tower is: () use 3 = 1.73

A274.1 m B284.1 m C175 m D294.1 m

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EnglishKVS PGT 2023

Q04.A ladder makes an angle of 60° with the ground when placed against a wall. If the foot of the ladder is 2m away from the wall, the length of the ladder is:

A4 3 m B4 3 m C2 2 m D4 m

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EnglishKVS PGT 2022 DSSSB TGT 2014

Q05.From the top of a hill, the angles of the depression of two consecutive km stones due east are found to be 30º and 45º. The height of the hill (in km) is:

A() 1 3 1 2 − B−( )/3 1 C() 3 1 + D() 1 3 1 2 +

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EnglishOAVS TGT 2022

Q06.If the elevation of the sun is 30°, then what is the length of the shadow cast by a tower of 150 ft height?

A120 3 B100 3 C150 3 D50 3

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EnglishDSE TGT 2022

Q07.If the length of the shadow of a pole is √3 times the height of the pole, then the angle (in degrees) of elevation of the sun is

A30 B60 C45 D90

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EnglishDSE TGT 2022

Q08.The angle of elevation of the top of the tower from two points at a distance a and b from the base and in the same straight line with it are complementary. Find the height of tower

Aab Ba+b Cab D(a b)/+

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EnglishOAVS TGT 2021

Q09.A tall tree and a building are standing opposite to each other at 10 meters. The upper portion of the tree breaks off and falls on top of the building making an angle 450. Find the length of the broken portion of the tree.

A10 5 meters B10 2 meters C10 3 meters D5 2 meters

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EnglishOAVS TGT 2019

Q10.From a point P on a level ground, the angle of elevation of the top tower is 300. If the tower is 170m high, the distance of point P from the foot of the tower is: (use 3 1.73)

A274.1 m B284.1 m C294.1 m D175 m

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EnglishOAVS TGT 2018

Q11.Two housed are in front of each other. Both have chimneys on their top. The line joining the chimneys makes an angle of 450 with the ground. How far are the houses (in m) from each other if one house is 25m and other is 10m in height?

A7.5 B15 C12 D18

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EnglishOAVS TGT 2018

Q12.A poster is on top of a building. Rajesh is standing on the ground at a distance of 50 m from the building. The angles of elevation top of the poster and bottom of the poster are 450 and 300, respectively. What is the height of the poster?

A50( 3 1)/3 B50 3 C25 3 DNone of the given

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EnglishOAVS TGT 2017 TGT - 2004

Q13.Two ships are sailing in the sea on the two sides of a lighthouse. The angle of elevation of the top of the lighthouse is observed from the ships are 30º and 45º respectively. If the lighthouse is 100m high. What is the distance between the two ships?

A173 m B100 m C273 m D373 m

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EnglishHaryana TGT 2020

Q14.The top of a 15 meter high tower makes an angle of elevation of 60° with the bottom of an electric pole and an angle of elevation of 30° with the top of the pole, then height of the electric pole is:

A8 m B9 m C10 m D12 m

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EnglishHaryana TGT 2019

Q15.If the height of a vertical pole is 3 times the length of its shadow on the ground, then the angle of elevation of the sun at that time is:

A60° B30° C75° D45°

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EnglishHaryana TGT 2019

Q16.It is observed that on walking x meters towards a tower in a horizontal line through its base, the elevation of its top changes from 30° to 60°. The height of the tower is:

A3 2x B2 3x C3 x 2 D2 x 3

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EnglishHaryana TGT 2019

Q17.A vertical rod 20 m long casts a shadow 10 m long on the ground. At the same time a tower casts a shadow 50 m long on the same ground. The height of the tower is:

A100 m B120 m C25 m D200 m

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EnglishHaryana PGT 2018

Q18.A tree is broken by wind, its upper part touches the ground at a point 10 meters from the foot of the tree and makes an angle of 45º with the ground. The entire length of the tree is:

A3 10 1 2 meter B20 meters C30 meters D() 10 1 2 + meters

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EnglishDSSSB 23 SEP 2018 (9 AM-11 AM)

Q19.The two hotels are 25 meters apart, one of them is 70 meters high and the angle of depression from the top of the other is found to be 45º from the top of this hotel what is the height of the second hotel.

A46m B44m C45m D43m

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EnglishDSSSB 23 SEP 2018 (9 AM-11 AM)

Q20.A vertical column A has two marks on C and D such that AC, AD and AB Subtend angles α, β, γ from a point on the group which is at a distance x

A1 1 1 a b c + + Babc a b c + + Cabc a b c + + Dabc a b c + +

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