A boy lets out 150 feet of kite string. The string makes an angle of 64 degree with the ground. assuming the string is straight, how high above the ground is the kite? round to the nearest tenth of a foot.
plz help I have no idea.
hypotenuse = 150
sin 64 = height / 150
To find the height of the kite above the ground, we can use trigonometry. Specifically, we can use the sine function which relates the length of the side opposite an angle in a right triangle to the hypotenuse of the triangle.
In this case, the length of the string represents the hypotenuse of the triangle, and the height of the kite represents the side opposite the angle of 64 degrees.
Using the formula: sin(angle) = opposite/hypotenuse, we can rearrange the formula to solve for the height:
opposite = hypotenuse * sin(angle)
Let's plug in the values given:
opposite = 150 feet * sin(64 degrees)
sin(64 degrees) ≈ 0.8988 (You can use a calculator or online tools to find this value)
Now, calculate the height:
opposite = 150 feet * 0.8988
opposite ≈ 134.8 feet
Therefore, the kite is approximately 134.8 feet above the ground.