A kite string is 102 feet long. the angle between the kite string and the ground is 54.9. how high is the kite
To find the height of the kite, we can use trigonometry. Since we have the length of the kite string and the angle between the kite string and the ground, we can use the sine function.
The formula for finding the height of the kite is:
Height = Length of kite string * sin(angle)
Plug in the values given:
Height = 102 feet * sin(54.9°)
To find the sine of 54.9°, you can use a scientific calculator or a trigonometric table. The sine of 54.9° is approximately 0.809.
Height = 102 feet * 0.809
Height ≈ 82.618 feet
So, the height of the kite is approximately 82.618 feet.
To find the height of the kite, we can use trigonometry. The angle between the kite string and the ground forms a right triangle, with the kite string as the hypotenuse.
We can use the sine function, which relates the opposite side of a right triangle to the hypotenuse. In this case, the height of the kite is the opposite side, and the kite string is the hypotenuse.
The formula for the sine function is:
sin(angle) = opposite / hypotenuse
In this case, the angle is 54.9 degrees and the hypotenuse is 102 feet. We can rearrange the formula to solve for the height:
height = sin(angle) * hypotenuse
Plugging in the values, we have:
height = sin(54.9) * 102
Using a calculator, we find that sin(54.9) is approximately 0.808.
height = 0.808 * 102
height ≈ 82.7 feet
Therefore, the height of the kite is approximately 82.7 feet.
so the hypotenuse of your right-angled triangle is 102
(ignoring the slack in the line)
let the height be h
sin 54.9° = h/102
h = 102sin54.9°
= ...