A ladder is resting with the wall at an angle of 30°. A man is ascending the ladder at the rate of 3 ft / sec. His rate of approaching the wall is

Question

A ladder is resting with the wall at an angle of 30°. A man is ascending the ladder at the rate of 3 ft / sec. His rate of approaching the wall is (A) 3 ft / sec (B) (3/2) ft / sec (C) (3/4) ft / sec (D) (3/√2) ft / sec

Tardigrade Admin · Accepted Answer

<img class="img-fluid question-image" alt="image" src="https://cdn.tardigrade.in/img/question/mathematics/b0b9114cc8ee43ad91cc95872ccfe8fa-.png" /> His rate of approaching the wall =3 × cos 60° =(3/2) ft / sec

Q. A ladder is resting with the wall at an angle of $3 0^{\circ}$ . A man is ascending the ladder at the rate of $3 f t / sec$ . His rate of approaching the wall is

$3 f t / sec$

$\frac{3}{2} f t / sec$

$\frac{3}{4} f t / sec$

$\frac{3}{2} f t / sec$

His rate of approaching the wall $= 3 \times cos 6 0^{\circ}$
$= \frac{3}{2} f t / sec$

Q. A ladder is resting with the wall at an angle of 30∘. A man is ascending the ladder at the rate of 3ft/sec. His rate of approaching the wall is

3ft/sec

23​ft/sec

43​ft/sec

2​3​ft/sec

His rate of approaching the wall =3×cos60∘ =23​ft/sec

Q. A ladder is resting with the wall at an angle of $3 0^{\circ}$ . A man is ascending the ladder at the rate of $3 f t / sec$ . His rate of approaching the wall is

$3 f t / sec$

$\frac{3}{2} f t / sec$

$\frac{3}{4} f t / sec$

$\frac{3}{2} f t / sec$

His rate of approaching the wall $= 3 \times cos 6 0^{\circ}$
$= \frac{3}{2} f t / sec$