Question

4.Водонапорная башня высотой 12 м видна из точки К на поверхности земли под углом 60º. Найди расстояние от точки К до основания башни расте от точки К до верхнего конца башни ПОЖАЛУЙСТА ОЧЕНЬ СРОЧНО!!!!!

Answer 1

Відповідь:

$1) 4\sqrt{3} \\2) 8\sqrt{3}$

Пояснення:

ML = 12м;

MKL = 60°;

Відстань від точки К до основи башти - LK

$></p> <p>Відстань від точки K до верхівки башти - MK</p> <p><img src=$

Answer 2

Problem Analysis

We are given that a water tower with a height of 12 meters is visible from point K on the ground surface at an angle of 60 degrees. We need to find the distance from point K to the base of the tower and the distance from point K to the top of the tower.

Solution

To solve this problem, we can use trigonometry. Let's consider the following diagram:

         A
        /|
       / |
      /  |h
     /   |
    /    |
   /     |
  /      |
 /       |
K-------B

In the diagram, point K represents the observer on the ground, point A represents the top of the tower, and point B represents the base of the tower. The height of the tower is represented by h.

We are given that angle AKB is 60 degrees and the height of the tower is 12 meters.

Using trigonometry, we can determine the distances KA and KB.

Let's start by finding the distance KA, which is the distance from point K to the top of the tower.

We can use the tangent function to find KA:

tan(60) = h / KA

Simplifying the equation, we have:

KA = h / tan(60)

Now, let's find the distance KB, which is the distance from point K to the base of the tower.

We can use the sine function to find KB:

sin(60) = h / KB

Simplifying the equation, we have:

KB = h / sin(60)

Substituting the given height of the tower (h = 12 meters) into the equations, we can calculate the distances KA and KB.

Calculation

Let's calculate the distances KA and KB using the given height of the tower (h = 12 meters).

Using the tangent function, we have:

KA = 12 / tan(60)

Using the sine function, we have:

KB = 12 / sin(60)

Now, let's calculate the values.

Answer

The distance from point K to the top of the tower (KA) is approximately 20.78 meters.

The distance from point K to the base of the tower (KB) is approximately 13.86 meters.

Please note that these values are approximate and rounded to two decimal places.

I hope this helps! Let me know if you have any further questions.