Question

A kite is flying 76

Answer 1

Answer:

The length of string from kite to the ground is 111.5 feet

Step-by-step explanation:

Given figure as :

The height from the ground at which kite is flying = BC = h = 76 feet

The angle of elevation of the kite = Ф = 43°

Let The length of the string = AC = x feet

Now, From figure

∵ Sin angle = $\dfrac{\textrm Perpendicular}{\textrm Hypotenuse}$

I.e Sin Ф = $\dfrac{\textrm BC}{\textrm AC}$

Or, Sin 43° = $\dfrac{h}{x}$

Or, 0.6819 = $\dfrac{76}{x}$

Now, cross multiplication

∴, x = $\dfrac{76}{0.6819}$

I.e x = 111.453 feet

So, AC = x = 111.5 feet

Hence The length of string from kite to the ground is 111.5 feet Answer