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

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 ft/sec. His rate of approaching the wall is

3 ft/sec

$\frac{3}{2}$ ft/sec

$\frac{3}{4}$ ft/sec

$\frac{3}{2}$ ft/sec

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

Q. 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

3 ft/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 ft/sec. His rate of approaching the wall is

$\frac{3}{2}$ ft/sec

$\frac{3}{4}$ ft/sec

$\frac{3}{2}$ ft/sec

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