Question

Хлопчик хоче штовхнути палицею камінь, який лежить на дні водойми на глибині 40 см. Прицілившись хлопчик тримає палицю під кутом 60. На якій відстані від каміння палиця встряне у дно водойми?

Answer 1

Ответ:

відстань від каменю до місця входу палиці в дно водойми дорівнює 4√3 см.

Answer 2

To determine the distance at which the stick will hit the stone at the bottom of the water, we can use trigonometry. Let's break down the problem step by step.

Given information:

- Depth of the water: 40 cm - Angle at which the boy is holding the stick: 60 degrees

Approach:

1. First, we need to find the horizontal distance between the boy and the stone at the bottom of the water. This distance is the same as the distance at which the stick will hit the stone. 2. We can use the trigonometric function cosine (cos) to calculate the horizontal distance. The cosine of an angle is equal to the adjacent side divided by the hypotenuse. 3. In this case, the adjacent side is the horizontal distance we want to find, and the hypotenuse is the length of the stick. 4. We can use the formula: cos(angle) = adjacent / hypotenuse. 5. Rearranging the formula, we get: adjacent = cos(angle) * hypotenuse.

Calculation:

1. The hypotenuse is the length of the stick. Since the length of the stick is not given in the question, we cannot calculate the exact distance without this information. 2. If you provide the length of the stick, I can help you calculate the distance at which the stick will hit the stone.

Please provide the length of the stick so that I can assist you further.