Respuesta :
Answer:
Step-In this scenario, Bo is forming a right triangle with the ground, where one leg is the distance from his hands to the ground (3.5 feet), the other leg is the height of the kite above the ground (the unknown we're trying to find), and the hypotenuse is the length of the kite string (110 feet).
The trigonometric relationship that relates the angle of elevation (θ), the opposite side (height of the kite above the ground), and the hypotenuse is given by the tangent function:
tan
(
�
)
=
Opposite
Adjacent
tan(θ)=
Adjacent
Opposite
In this case, the angle of elevation (θ) is 29 degrees, the opposite side is the height of the kite above the ground, and the adjacent side is the distance from Bo's hands to the ground. So, we have:
tan
(
2
9
∘
)
=
height of kite
3.5
feet
tan(29
∘
)=
3.5feet
height of kite
Solving for the height of the kite:
height of kite
=
3.5
feet
×
tan
(
2
9
∘
)
height of kite=3.5feet×tan(29
∘
)
height of kite
≈
3.5
feet
×
0.5543
height of kite≈3.5feet×0.5543
height of kite
≈
1.94105
feet
height of kite≈1.94105feet
Rounding to the nearest tenth foot, the height of the kite above the ground is approximately
1.9
1.9 feet.
by-step explanation:
