The approximate horizontal distance between the person and the kite is 95 ft
To find the approximate horizontal distance between the person and the kite, we can use trigonometry. Let's call the distance from point P to the person x.
We can represent the situation using a right triangle.
The angle between the ground and the line connecting the person and the kite is 40 degrees, and the hypotenuse of the triangle is 125 ft.
To find the horizontal distance, we need to find the length of the adjacent side of the triangle.
Using the cosine function, we can write: cos(40 degrees) = x / 125 ft. Solving for x, we get: x = 125 ft * cos(40 degrees).
Using a calculator, we find that x is approximately 95.48 ft. Therefore, the approximate horizontal distance between the person and the kite is 95 ft (rounded to the nearest foot).
The probable question may be:
The kite is at a distance of 125 ft from person . The kite is perpendicular to the ground at point P. the distance from point P to the person is x and the angle from ground to person and the kite is of 40 degree. What is the approximate horizontal distance between the person and the kite? Round to the nearest foot.