MHT-CET

Heights and Distances question bank (Mathematics)

Practice 6 free MHT-CET Mathematics - Heights and Distances questions with answers and step-by-step solutions.

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Q1.

The lengths of the shadows of a tree of height p, thrown by sun's rays at three different moments are p, 2p and 3p. The sum of the angles of elevation of the sun's rays at these three moments is equal to...

(A)

$\dfrac{2\pi}{3}$

(B)

$\dfrac{3\pi}{2}$

(C)

$\dfrac{\pi}{4}$

(D)

$\dfrac{\pi}{2}$

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Q2.

A ladder, 5 meters long; rests against a vertical wall. If its top slides downwards at the rate of $10 \mathrm{~cm} / \mathrm{s}$, then the angle between the ladder and the floor is decreasing at the rate of radians/second when it's lower end is $\overline{4 \mathrm{~m} \text { away from the wall. }}$

(A)

$-0.1$

(B)

$-0.025$

(C)

$0.1$

(D)

$0.025$

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