# Advanced Maths Quiz( Height And Distance, Value Based)

As SSC CGL exam is coming near, many of candidates are studying very hard for this exam and want to crack this exam very seriously. Many of candidates understand this thing that QUANTITATIVE APTITUDE Section plays a pivotal role in deciding the cut-off for candidates giving this exam especially the ADVANCED MATHS portion.
Friends, from now on We are starting a “Study Plan for Advanced Maths”. According to this plan, we would be publishing daily quiz of Advanced maths portion from where we would cover a topic each in it and we would update it daily in SSCADDA WEBSITE. AND ALSO THIS STUDY PLAN IS NOT PARTICULARLY FOR SSC EXAM BUT ALSO USEFUL FOR OTHER GOVERNMENT EXAM.

1.  A 100 m tall radio antenna stands on top of a house. From a point on the ground, the angle of elevation of bottom of the antenna is 45° and angle of elevation of top of the antenna is 60°. What is the height of the house?
(a) 100 m
(b) 50 m
(c) 50(v3+1) m
(d) 50 (v3-1) m

2.  The shadow of a 6 m high tower is 15 m and at the some point of time length of shadow of a tree is 25 m. What is the height of the tree?
(a) 21 m
(b) 10 m
(c) 35 m
(d) None of these

3.  Suppose angle of elevation of top of a tree from a point E, due east of the tree is 60° and from a point F, due west is 30°. If distance between E and F is 160 feet, what is the height of the tree?
(a) 40 v3 feet
(b) 60 feet
(c) 40/v3feet
(d) 23 feet

4.  Two poles of 6 m and 11 m are standing vertically on a plane. If distance between their feet is 12 m, what is the distance between their top?
(a) 11 m
(b) 12 m
(c) 13 m
(d) 14 m

5.  When Sun’s altitude is 30°, the shadow of a tower is 15 meter. What is the length of shadow when Sun’s altitude is 60°?
(a) 3 m
(b) 4 m
(c) 5 m
(d) 6 m

6.  As observed from the top of a light house, the angle of depression of two ships in opposite direction are 30° and 45°. If height of light house is h, then what is the distance between two ships?
(a) (v3+1)h
(b) (v3-1)h
(c) v3 h
(d) (1+1/v3)h

7.  A man stands at the end point of the shadow of a pole. He measure that length of shadow is 1/v3 times that of pole. What is the Sun’s altitude?
(a) 60°
(b) 30°
(c) 45°
(d) 15°

8.  The angle of depression of vertices of a regular hexagon lying in a plane from the top of a 75 m high tower standing at the centre of the hexagon is 60°. What is the length of each side of the hexagon?
(a) 50v3 m
(b) 75 m
(c) 25v3 m
(d) 25 m

9.  The angle of elevation of top of a monument from a point on the ground is a and tan a=1/5. One walking 138 meter towards the base of the monument in the same straight line, the angle of elevation of the top of monument is found to be ß, where sec ß = v(193)/12. Height of monument is
(a) 35
(b) 49
(c) 42
(d) 56

10. The angle of elevation of an aeroplane from a point on the ground is 45°. After flying for 15 second, the elevation changes to 30°. If the aeroplane is flying at a height of 2500 meters, then approximate speed of the aeroplane in kmph is
(a) 440 kmph
(b) 400 kmph
(c) 360 kmph
(d) 480 kmph

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