TS Polycet (Polytechnic) 2022 Previous Question Paper with Answers And Model Papers With Complete Analysis

56) Find length of a kite string flying at 100m above the ground with the elevation 60°

A) $\frac{100}{\sqrt3}$
B) $\frac{50}{\sqrt3}$
C) $\frac{200}{\sqrt3}$
D) $\frac{25}{\sqrt3}$

View Answer

C) $\frac{200}{\sqrt3}$

Explanation:Height = 100 m, angle = 60° ⇒ sin60° = 100 / hypotenuse ⇒ hypotenuse = 100 / (√3/2) = 200/√3

57) If sinθ = cos(0∠θ∠90°) then tanθ

A) -1
B) 4
C) 2
D) 1

View Answer

D) 1

Explanation:If sinθ = cosθ ⇒ θ = 45° ⇒ tanθ = 1

58) The value of $\frac{\tan\left(\alpha\right)}{\sqrt{1+\tan^2\left(\alpha\right)}}$ is

A) cos α
B) sin α
C) cosec α
D) sec α

View Answer

B) sin α

Explanation: $\frac{\tan α}{\sqrt{1 + \tan^2 α}} = \sin α$ \[By identity]

59) The tops of the two poles are of height 20m and 14m are connected by a wire, if wire makes an angle 30° with the horizontal, then the length of the wire is

A) 11m
B) 12m
C) 13m
D) 10m

View Answer

B) 12m

Explanation:Height difference = 6 m, angle = 30° ⇒ sin30° = 6 / wire ⇒ wire = 6 / 0.5 = 12 m

60) Identify the correct statement

A) P(E) =-1
B) P(E) ≥1
C) 0≤P(E) ≤1
D) None

View Answer

C) 0≤P(E) ≤1

Explanation:Probability of any event is always between 0 and 1

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