Question

a kite flying at a height of 80m from the ground is tied tightly to a nail on the of a building of height 10m by its thread if the angles subtended by the thread with the building 30° find the length of thread

Answer 1

Answer:

Length of the thread is 121.2 m

Step-by-step explanation:

Hi,

Let AB be the building ,

Given AB = 10 m

Let CK be the height at which kite is flying

Given CK = 80 m

Given ∠KBD = 30°

tan ∠KBD = KD/KB

⇒ 1/√3  = KD/KB

KB = KD √3

But KD = KC - CD and CD = AB

Hence KD = 80 - 10 = 70 m

So, KB = 70√3 m

= 121.2 m

Length of the thread is 121.2 m

Hope, it helps !