JIPMAT 2022 (QA) - Two poles of height 6 m and 11 m stand vertically upright on a plane ground. If the distance between their foot is 12 m, then the distance between their tops is | PYQs + Solutions

JIPMAT 2022

Geometry

Trigonometry

Conceptual

Two poles of height 6 m and 11 m stand vertically upright on a plane ground. If the distance between their foot is 12 m, then the distance between their tops is

12 m

14 m

13 m

11 m

✅ Correct Option: 3

As we can see from the diagram, we'll use pythagoras theorem to find the distance between their tops.

Distance

=\sqrt{5^2+12^2}=\sqrt{25+144}=\sqrt{169}=13

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(2 \sin^2\theta + 3 \cos^2\theta)

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\sin (\theta)=\frac{5}{13}

\tan (\theta)=\frac{5}{12}

\cot (\theta)=\frac{12}{5}

\sin (\theta)=\frac{5}{12}

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\begin{aligned} & \sin ^2\left(41^{\circ}\right)+\sin ^2\left(49^{\circ}\right)=1 \\ & \sin ^2\left(60^{\circ}\right)-2 \tan \left(45^{\circ}\right)-\cos ^2\left(30^{\circ}\right)=-1 \\ & \sin ^2(\theta)+\frac{1}{1+\tan ^2(\theta)}=1 \end{aligned}