 # SSC CGL Quant Quiz For HEIGHT AND DISTANCE – 5 July 2016 1. A man is climbing a ladder which is inclined to the wall at an angle of 30°. If he ascends at a rate of 2 m/s, then he approaches the wall at the rate of

1.5 m/s
1 m/s
2 m/s
2.5 m/s

2. P and Q are two points observed from the top of a building 10√3 m high. If the angles of depression of the points are complementary and PQ = 20 m, then the distance of P from the building is

25 m
45 m
30 m
40 m

3. A tree is broken by the wind. If the top of the tree struck the ground at an angle of 30° and at a distance of 30 m from the root, then the height of the tree is

25√3 m
30√3 m
15√3 m
20√3 m
Solution:

4. A vertical stick 12 cm long casts a shadow 8 cm long on the ground. At the same time, a tower casts a shadow 40 m long on the ground. The height of the tower is

72 m
60 m
65 m
70 m

5. The tops of two poles of height 24 m and 36 m are connected by a wire. If the wire makes an angle of 60° with the horizontal, then the length of the wire is

6 m
8√3 m
8 m
6√3 m

6. If I is the in-centre of ∆ ABC and ∠A=60° , then the value of ∠BIC is

100°
120°
150°
110°
Solution:∠BIC=90°+A/2=90°+30°=120°

7. In an obtuse-angled triangle ABC, ∠A is the obtuse angle and O is orthocenter. If ∠BOC=54° then ∠BAC is

108°
126°
136°
116°
Solution:∠BAC=180°-∠BOC=180°-54°=126°

8. If the sides of a triangle are in the ratio 3:1 1/4 ∶3 1/4 , then the triangle is

obtuse triangle
Acute triangle
Right triangle
Equiangular triangle

9. If the length of each of two equal sides of an isosceles triangle is 10 cm. and the adjacent angle is 45°, then the area of the triangle is

12√2 square cm
15√2 square cm
20√2 square cm
25√2 square cm
Solution:

10. For an equilateral triangle, the ratio of the in radius and the outer-radius is

1∶√2
1∶√3
1∶2
1∶3

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