A kite is 300 m high and there are 500 m of cord out. If the wind moves the kite horizontally at the rate of 5 km / hr. directly away from the person who is flying it, the rate at which the cord is being paid is

Question

A kite is 300 m high and there are 500 m of cord out. If the wind moves the kite horizontally at the rate of 5 km / hr. directly away from the person who is flying it, the rate at which the cord is being paid is (A) 2 Km / hr (B) 4 Km / hr (C) 6 Km / hr (D) 8 Km / hr

Tardigrade Admin · Accepted Answer

<img class="img-fluid question-image" alt="image" src="https://cdn.tardigrade.in/img/question/mathematics/f93ed8d62c12cf61b186c204e06e71d4-.png" /> From figure z2=x2+y2 z (d z/d t)=x (d x/d t) If z=500 then x=400 ⇒ 500 ( dz / dt )=400(5) ⇒ ( dz / dt )=4

Q. A kite is $300 m$ high and there are $500 m$ of cord out. If the wind moves the kite horizontally at the rate of $5 km / h r$ . directly away from the person who is flying it, the rate at which the cord is being paid is

$2 K m / h r$

$4 K m / h r$

$6 K m / h r$

$8 K m / h r$

From figure $z^{2} = x^{2} + y^{2}$
$z \frac{d z}{d t} = x \frac{d x}{d t}$
If $z = 500$ then $x = 400$
$\Rightarrow 500 \frac{d z}{d t} = 400 (5)$
$\Rightarrow \frac{d z}{d t} = 4$

Q. A kite is 300m high and there are 500m of cord out. If the wind moves the kite horizontally at the rate of 5km/hr. directly away from the person who is flying it, the rate at which the cord is being paid is

2Km/hr

4Km/hr

6Km/hr

8Km/hr