Question

A flying kite is tied to peg on the ground with string of length 150 m.if the string makes an angle 30 degree with ground .find the height of the kite from the ground

Answer 1

Answer:

Refer to the attachment for the diagram.

According to the question, the string length is 150 m. It makes an angle of 30° with the plane ground. We are asked to find the perpendicular distance of tip of the kite from the plane ground.

Applying Trigonometry, we know that,

• Sin Ф = Opposite / Hypotenuse

According to the diagram,

• Opposite Side = x
• Hypotenuse = 150
• Ф = 30°

Applying the values in the formula we get,

⇒ Sin 30° = x / 150

⇒ 1 / 2 = x / 150     [ ∵ Sin 30 = 1/2 ]

Cross multiplying we get

⇒ 2x = 150

⇒ x = 150 / 2 = 75 m

Hence the perpendicular distance 'x' from the plane ground is 75 m.

Answer 2

$\huge{\underline{\mathfrak{Solution:}}}$

Applying Trigonometry, we know that,

Sin Ф = $\bf\dfrac{Opposite}{Hypotenuse}$

According to the diagram,

Opposite Side = x

Hypotenuse = 150

Ф = 30°

Applying the values in the formula we get,

⇒ Sin 30° = $\bf\dfrac{x}{150}$

⇒ $\bf\dfrac{1}{2}$ = $\bf\dfrac{x}{150}$    

Cross multiplying we get,

⇒ 2x = 150

⇒ x = 150 / 2

⇒ x = 75 m

Hence,

The perpendicular distance 'x' from the plane ground is 75 m.