A kite with a string 80 feet long makes an angle of elevation of 40 degrees with the ground, assuming the string is straight how high is the kite? round your answer to the nearest foot
sin40° = height/80
height = 80sin40 = 51.42 or appr 51 feet
thank you
To find the height of the kite, we can use trigonometry. The given angle of elevation and the length of the string can help us determine the height.
In this case, we'll use the sine function, which relates the angle of elevation to the opposite side (height) and the hypotenuse (string length) of the right triangle formed by the string, the ground, and the height of the kite.
The formula for sine is: sin(angle) = opposite/hypotenuse.
Let's plug in the values we have:
sin(40 degrees) = opposite/80 feet.
Now we can rearrange the equation to solve for the height (opposite side):
opposite = sin(40 degrees) * 80 feet.
Calculating this expression, we find:
opposite ≈ 0.6428 * 80 feet.
So, the height of the kite is approximately:
opposite ≈ 51.43 feet.
Rounded to the nearest foot, the height of the kite is 51 feet.