Answer:
38.3 meters to the nearest tenth.
Step-by-step explanation:
sin 50 = opposite / hypotenuse
= height of the kite / length of the string
sin 50 = h / 50
h = 50 sin 50
= 38.3 meters (answer).
Answer:
38.33 m
Step-by-step explanation:
We are given that Mary is flying a kite with a 50 - meter string.
The string is making a 50 degrees angle with the ground
We have to find the height above the ground of the kite
Let x be the height of kite above the ground
[tex]\theta=50^{\circ}[/tex]
Height of string =Hypotenuse
In aright angled triangle ABC
[tex]sin \theta=\frac{Opposite side of angle }{Hypotenuse}[/tex]
Substitute the values then we get
[tex] sin 50^{\circ}=\frac{x}{50}[/tex]
[tex]0.766=\frac{x}{50}[/tex]
[tex]x=50\times 0.766[/tex]
[tex]x=38.33 m[/tex]
Hence, the height of kite above the ground=38.33 m
