Answer:
126.20 m to the nearest hundredth.
Step-by-step explanation:
We have a right angled triangle here with the opposite side = 65 m , the angle
= 31 degrees and we need to find the hypotenuse ( the length of the string).
sin 31 = opp/hyp = 65/ L where L = the length of the string.
L * sin 31 = 65
L = 65 / sin 31
L = 126.20 m.
The length of the string is about [tex]126.21[/tex] m.
Given:
The distance between the kite and ground is [tex]65[/tex] m.
The angle of elevation of string from the ground is [tex]31^\circ[/tex].
To find:
The length of the string.
Explanation:
Let [tex]x[/tex] be the length of the string.
We know that,
[tex]\sin \theta =\dfrac{\text{Perpendicular}}{\text{Hypotenuse}}[/tex]
Using the above formula, we get
[tex]\sin (31^\circ) =\dfrac{65}{x}[/tex]
[tex]x=\dfrac{65}{\sin (31^\circ)}[/tex]
[tex]x=\dfrac{65}{0.515}[/tex]
[tex]x\approx 126.21[/tex]
Therefore, the length of the string is about [tex]126.21[/tex] m.
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