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

If the flag-staff 6 meters high placed on the top of a tower. Makes the shadow 2√3 m on the ground, then the angle of elevation of the sun is

• 30^ο A
• 35^ο B
• 45^ο C
• 60^ο D

• 
  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
• 
  B
• 
  C
• 
  D

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

• 
  A
• 
  B
• 
  C
• 
  D

In-radius is denoted by

• r A
• η B
• r2 C
• R D

• 
  A
• 
  B
• 
  C
• 
  D

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

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

• In-circle A
• Circumcircle B
• e-circle C
• Point circle 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

PQ is a post of given height a, and AB is a tower at some distance;αandβare the angles of elevation of B, the top of the tower, at P and Q respectively. The height of the tower and its distance from the post are

• 
  A
• 
  B
• 
  C
• 
  D

An airplane flying at height of 300 meters above the ground passes vertically above another plane at an instant when the angle of elevation of the two planes from the same point on the ground are 60° and 45° respectively. Then the height of the lower plane from the ground is (in meters).

• 
  A
• 
  B
• 
  C
• 
  D

• 
  A
• 
  B
• 
  C
• 
  D

For any equilateral r :R :η :r1 :r2 :r3 =

• 1:2:3:4:5 A
• 1:2:3:3:3 B
• 1:2:4:4:4 C
• 2:1 :2 :2 :2 D

Area of inscribed circle is

• π R2 A
• π η2 B
• π r22 C
• π r2 D

• 
  A
• 
  B
• 
  C
• 
  D

In triangle ABC, in which b=95, c=34, a =52^𝜊then the value of a=

• 18 cm A
• 18.027 cm B
• 20.7 cm C
• 19 cm D

Ifθ= 60° then

• sinθ= 1/2 A
• tanθ= cot 30° B
• θ=π/4 C
• secθ= 4 D

The angle of depression of a point situated at a distance of 70 meters from the base of a tower is 45°. The height of the tower is

• 70 m A
• 85 m B
• 35 m C
• None of these D

The law of sines 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

An observer on the top of a cliff 200 m above the sea level, observes the angles of depression of two ships on opposite sides of the cliff to be 45° and 30°, respectively. The distance between the ships if the line joining them points to the base of cliff is

• 
  A
• 
  B
• 
  C
• 
  D

E-radius corresponding to < A is

• 
  A
• 
  B
• 
  C
• 
  D

• 
  A
• 
  B
• 
  C
• 
  D

The towers each 120 meters high are 800 meters apart. The measure of the angle of elevation from the base of one tower to the top of the other is

• 12^𝜊 A
• 9^𝜊 B
• 7^𝜊 C
• -120^𝜊 D

The triangle that does not have a right angle is called.

• Isosceles triangle A
• right angle triangle B
• equivalent triangle C
• oblique triangle D

• 
  A
• 
  B
• 
  C
• 
  D

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

• 
  A
• 
  B
• 
  C
• 
  D