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

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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

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

A triangle which is not right is called an ______ triangle

• Acute A
• Obtuse B
• Oblique C
• None of these D

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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

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The angle of depression of the point at a distance 70 meters from the foot of the tower from the top of the tower is 45^𝜊.The height of the tower is

• 37m A
• 97m B
• 101m C
• 70m D

• R A
• 2R B
• r C
• 2r D

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

A circle drawn inside a triangle and touching its sides is called ______;

• Circumcirle A
• Incircle B
• Escribed circle C
• unit circle 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

A tower subtends an angleαat a point on the same level as the root of the tower and at a second point, b meters above the first, the angle of depression of the foot of the tower isβ. The height of the tower is

• b cotαtanβ A
• b tanαtanβ B
• b tanαcotβ C
• None of these D

The angle of elevation of the top of a tree from a point 17 meters from is foot is 42^𝜊The height of the tree is

• 12m A
• 21m B
• 17m C
• 15m D

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A chimney is such that on walking towards it 50 m in a horizontal line through its base the angular elevation of its top changes from 30° to 45°. The height of the chimney is

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

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

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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

Area of inscribed circle is

• π R2 A
• π η2 B
• π r22 C
• π r2 D

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

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A person standing on the bank of a river finds that the angle of elevation of the top of a tower on the opposite bank is 45°. then which of the following statements is correct?

• Breadth of the river is twice the height of the tower A
• Breadth of the river an the height of the tower are the same B
• Breadth of the river is half of the height of the tower C
• None of these D

If Cosθ=0, thenθ= ______

• nπ/2 A
• (2n + 1)π/2 B
• (2n - 1)π/2 C
• (4n + 1)π/2 D

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