NIMCET 2016 — Mathematics PYQ

Q: How do I solve NIMCET 2016 Mathematics questions?

Practice NIMCET 2016 Mathematics previous year questions with step-by-step solutions on Mathem Solvex. Each question includes a detailed explanation and video solution to help you master the concept quickly.

Q: What is the difficulty level of NIMCET Mathematics questions?

NIMCET Mathematics questions range from moderate to advanced difficulty. Consistent practice with official previous year papers and topic-wise drills on Mathem Solvex is the most effective preparation strategy.

Q: Are NIMCET previous year papers available for free?

Yes. Mathem Solvex provides free access to NIMCET previous year question papers and topic-wise PDFs. You can download them or attempt them as timed live mock tests directly on the platform.

Question

NIMCET 2016 — Mathematics PYQ

NIMCET | Mathematics | 2016

A circus artist is climbing a 20 m long rope, which is tightly stretched and tied from the top of a vertical pole to the ground. Find the height of the pole, if the angle made by the rope with the ground level is 30°.

Choose the correct answer:

Explanation

Concept:

$tan θ = \frac{opposite side}{adjacent side}$
$sin θ = \frac{opposite side}{hypotenuse}$
$cos θ = \frac{adjacent side}{hypotenuse}$
Calculation:

Given
Length of the rope (l) = 20 m
which is the hypotenuse of the triangle
angle made by the rope with the ground ( $θ$ ) = 30°
let the height of the pole be = h
which will be the opposite side of the triangle
$sin θ = \frac{opposite side}{adjacent side}$
$\sin 30° = \frac{h}{l} = \frac{h}{20}$
$\sin 30° = \frac{1}{2}$
$∴ h = 10 m$