A kite has a string 100m long anchored to the ground. The string makes and angle with the ground of 65 degree. What is the horizontal distance of the kite from the anchor?
cos65° = d/100
d = 42.26
Thank you steve
To find the horizontal distance of the kite from the anchor, we can use trigonometry.
Let's call the horizontal distance x.
We have a right triangle formed by the string, the ground, and the horizontal distance. The angle between the string and the ground is 65 degrees.
In a right triangle, the cosine of an angle is equal to the adjacent side divided by the hypotenuse. In this case, the adjacent side is the horizontal distance x, and the hypotenuse is the length of the string (100m).
So we can write the equation:
cos(65°) = x / 100
To find x, we can rearrange the equation:
x = 100 * cos(65°)
Using a calculator, we can compute the value of cos(65°) and find:
x ≈ 100 * 0.4226 ≈ 42.26m
Therefore, the horizontal distance of the kite from the anchor is approximately 42.26 meters.
To find the horizontal distance of the kite from the anchor, we can use trigonometry.
In this case, the angle formed between the string and the ground is 65 degrees.
The horizontal distance can be found by using the cosine of this angle.
The cosine of an angle is defined as the ratio of the length of the adjacent side to the length of the hypotenuse. In this case, the adjacent side is the horizontal distance and the hypotenuse is the length of the string (100m).
So, to find the horizontal distance, we can use the formula:
Horizontal distance = Length of string * Cos(angle)
Horizontal distance = 100m * Cos(65 degrees)
Using a calculator, we can find that Cos(65 degrees) is approximately 0.42261826.
Therefore, the horizontal distance of the kite from the anchor is approximately 42.26 meters.