Question

A kite flying at a height of 80 m from the ground is tied to a nail on the building of height 10 m by its thread of angle subtended by thread of building is 30 degree find length of thread

Answer 1

Answer:

Step-by-step explanation:

Answer 2

Answer:

The length of thread is 140 m.

Step-by-step explanation:

Let x be the vertical distance of kite from the top of the building,

Since, the height of kite from the ground = 80 meters,

Thus, the height of the building = 80 - x,

According to the question,

80 - x = 10

⇒ x = 70 meters,

Also, given,

The angle subtended by thread of building is 30 degree

So, By the below diagram,

$sin 30^{\circ}=\frac{x}{\text{The length of thread}}$

$\implies \frac{1}{2}=\frac{70}{\text{The length of thread}}$

$\implies \text{ The length of thread}}=140\text{ m}$