PYQ 2 178/2005

The string of a kite is 150 m long and its makes 30° to the horizontal. Find the height of the kite

• 75 m
• 100 m
• 120 m
• 85 m

Answer explanation

Height of the kite = 150 x sin(30°) = 150 x 1/2 = 75 m

The scale of chords is used to measure the ......

• Length
• Area
• Angle
• Diameter

Answer explanation

Scale of chords is used to measure angles when a protractor is not available.

Path of a projectile is in the form of a..

• Ellipse
• Hyperbola
• Semicircle
• Parabola

Answer explanation

Path of a projectile is parabolic in shape.

The value of sin 30° + Cos 60° + tan 45° = ...

• 2/√3
• 2
• 1/√3
• 1

Answer explanation

sin 30° + cos 60° + tan 45° = 0.5 + 0.5 + 1 = 2.

A line is inclined to both HP and VP, the length of elevation and plan is

• Same as true length
• Greater than the true length
• Double the length of true length
• Less than the original length

Answer explanation

When a line is inclined to both planes, projections are shorter than true length.

Sin 50° = 0.766 then value of sec 40° is

• 1.532
• 1/1.532
• 1/0.766
• 0.766

Answer explanation

cos 40° = sin 50° = 0.766 → sec 40° = 1/0.766

The symbol for indicating the angle of projection recommended by BIS

• Two views of frustum of cone lying horizontally
• Two views of frustum of cone lying vertically
• Two concentric circles and rectangle
• None of the above

Answer explanation

According to BIS, the 1st angle projection symbol uses horizontal frustum.

Sin²30° + cos²30° = .....

• 1/4
• 1/2
• 1
• 0

Answer explanation

Identity: sin²θ + cos²θ = 1.

Take the odd one out

• Octagon
• Square
• Hexagon
• Pentagon

Answer explanation

Square is only regular polygon among them that cannot have unequal sides.

sin 3A =

• 4 sin A - 3 sin³A
• 3 sin A + 4 sin³A
• 3 sin²A - 4 sin A
• 3 sin A - 4 sin³A

Answer explanation

Standard identity: sin 3A = 3 sin A - 4 sin³A.