ECAT Pre General Science MCQ Test With Answer for Mathematics Chapter 14

At a point 15 meters away from the base of a 15 meters high house, the angle of elevation of the top is

• 90° A
• 60° B
• 30° C
• 45° D

If you are looking a high point from the ground, then the angle formed is

• Angle of elevation A
• Angle of depression B
• Right angle C
• Horizon D

• 
  A
• 
  B
• 
  C
• 
  D

If sided of𝜟ABC are 16,20,and 33, then the value of the greatests angle to

• 150𝜊 20' A
• 132𝜊 35' B
• 101𝜊 25' C
• 160𝜊 50' D

• 
  A
• 
  B
• 
  C
• 
  D

• 
  A
• 
  B
• 
  C
• 
  D

The horizontal distance between the two towers is 60 m. the angular elevation of the top of the taller tower as seen from the top of the shorter one is 30°. If the height of the taller tower is 150 m, the height of the shorter one is

• 116 m A
• 200 m B
• 216 m C
• None of these D

The quadratic equation 8 sec2θ - 6 secθ +1 =0 has

• Infinitely many roots A
• Exactly two roots B
• Exactly four roots C
• No roots D

A circle passing through the vertices of any triangle is called ______

• In circle A
• Circum circle B
• Escribed circle C
• None of these D

• 
  A
• 
  B
• 
  C
• 
  D

If a, b, c are the measures of the sides of a triangle then

• 
  A
• 
  B
• 
  C
• 
  D

The law of tangents is ______

• 
  A
• 
  B
• 
  C
• 
  D

E-radius corresponding to < C is

• 
  A
• 
  B
• 
  C
• 
  D

The law of sines can be used to solve oblique triangle when following information is given:

• Two angles and a side A
• Two sides and an angle opposite one of the given sides B
• Two sides and the angle between two sided C
• Option a and b D

The process of finding the unknown elements in triangle is called the

• solution of the triangle A
• Mean differnece B
• Engineering distance C
• angle of depressin D

A circle which touches one side of a triangle externally and the other two sides produced is called ______

• In-circle A
• Circum cirle B
• Escribed circle C
• None of these D

The upper 3/4 the portion of a vertical pole subtends an angle tan^-13/5 at a point in the horizontal plane through its foot and at a distance 40 m from the foot. A possible height of the vertical pole is

• 20 m A
• 40 m B
• 60 m C
• 80 m D

The law of consines is

• 
  A
• 
  B
• 
  C
• 
  D

The law of sines can be used to solve

• Right angle triangle A
• Isosceles triangle B
• oblique triangle C
• haxagon D

The angle AOP which the ray from an observer's eye at O to an object at P at a lower level makes with horizontal ray OA through O is called the

• Angle of depression A
• Angle of elevation B
• Acute angle C
• Obtuse angle D

A triangle has six

• side A
• elements B
• angle C
• tangents D

AB is a vertical pole and C is its middle point. The end A is on the level ground and P is any point on the level ground other than A. the portion CB subtends and angleβat P. If AP : AB = 2 : 1 thenβ=

• 
  A
• 
  B
• 
  C
• 
  D

120° degrees are equal to how many radians?

• 
  A
• 
  B
• 
  C
• 
  D

• 
  A
• 
  B
• 
  C
• 
  D

A person standing on the bank of a river observes that the angle of elevation of the top of a tree on the opposite bank of the river is 60° and when he retires 40 meters away from the tree the angle of elevation becomes 30°. The breadth of the river is

• 40 m A
• 30 m B
• 20 m C
• 60 m D

A man of height 6 ft observes the top of a tower and the foot of the tower at angles of 45° and 30° of elevation and depression respectively. The height of the tower is

• 
  A
• 
  B
• 
  C
• 
  D

• 
  A
• 
  B
• 
  C
• 
  D

• The law of sines A
• The law of tangents B
• The pythagorus theorem C
• None of these D

• 
  A
• 
  B
• 
  C
• 
  D

A kite flying at a height of 67.2 m is attached to a fully stretched string inclined at an angle of 53 to the horizontal, the length of the string

• 62m A
• 82m B
• 73m C
• 57m D