Sam is flying a kite. the length of the kite string is 80 meters, and it makes an angle of 75° with the ground. the height of the kite from the ground is meters.
height equals 80 meters times sin(angle of 75 degrees)
h = 80 (0.966) = 77.27 meters height of kite from the ground
Answer:
Height of the kite from ground is 77 m.
Step-by-step explanation:
Given: Length of the kite string = 80 m
Angle of elevation = 75°
To find: Height of the kite from the ground.
Figure is attached.
In ΔABC
using trigonometric ratio,
\(sin\,75^{\circ}=\frac{AB}{AC}\)
\(0.97=\frac{AB}{80}\)
\(AB=0.97\times80\)
AB = 77.27 m
AB = 77 m (approx.)
Therefore, Height of the kite from ground is 77 m.