AP Polycet (Polytechnic) 2025 Previous Question Paper with Answers And Model Papers With Complete Analysis

6) The angle formed by the line of sight with the horizontal when it is above the horizontal level is:

A) angle of elevation
B) angle of depression
C) right angle
D) none of these

View Answer
A) angle of elevation

Explanation:The angle formed by the line of sight above horizontal is:
Answer: angle of elevation

7) A ladder is leaned against a wall with angle of 60° with the ground and its foot is 6 feet away from the wall. Then the length of the ladder is:

A) 12 feet
B) 36) feet
C) 6 feet
D) 24 feet

View Answer
A) 12 feet

Explanation:Ladder against wall: angle = 60°, base = 6 ft
Use cosine:
\cos 60° = \frac{6}{\text{hypotenuse}} = \frac{6}{x} \Rightarrow \frac{1}{2} = \frac{6}{x} \Rightarrow x = 12
Answer: 12 feet

8) Two cars are seen from the top of a tower of height 75 m with angles of depression 30° and 45°. If the cars are on opposite sides of the tower along the same line, the distance between them is:

A) 75(√3+1) m
B) 75(√3-1) m
C) 75(√3+1) m
D) 75(√3-1) m

View Answer
A) 75(√3+1) m

Explanation:From top of tower: height = 75 m, angles = 30° and 45°
Use:
Distance at 30° = 75 \cot 30° = 75 \sqrt{3}Distance at 45° = 75 \cot 45° = 75
Total distance =
75 (\sqrt{3} + 1)
Answer: 75(√3 + 1) m

9) The number of tangents a circle can have from a point outside the circle is:

A) one
B) two
C) three
D) four

View Answer
B) two

Explanation:Number of tangents from a point outside a circle:
Answer: two

10) The angle made by the tangent at any point of the circle with the radius at the point of contact is:

A) 0°
B) 45°
C) 60°
D) 90°

View Answer
D) 90°

Explanation:Angle between radius and tangent at contact point:
Answer: D. 90°

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