Here are the solutions to the questions you sent. Question (i) There are 86,969 sacks of maize, 69,594 sacks of rice, and 90,743 sacks of wheat in a store for sale. Find the total amount of food grain

There are 86,969 sacks of maize, 69,594 sacks of rice, and 90,743 sacks of wheat in a store for sale. Find the total amount of food grains in storage.

A town has a total population of 7,000,000. The population of women is 3,570,586 and the population of men is 1,865,382. Find the number of children in the town.

A 10-meter ladder rests against a vertical wall. The base of the ladder is at a distance of $x$ meters from the wall and makes angle $\beta$ with the ground.
The question is incomplete, but based on the diagram and typical problems of this type, we can establish the relationships between $x$, the height the ladder reaches on the wall (let's call it $h$), and the angle $\beta$.

Given:

• Ladder length (hypotenuse) = $10 \text{ m}$
• Distance from wall (adjacent to $\beta$) = $x \text{ m}$
• Angle with the ground = $\beta$

Using trigonometry for a right-angled triangle:

• Relationship for $x$:

  $$\cos \beta = \frac{\text{Adjacent}}{\text{Hypotenuse}} = \frac{x}{10}$$

  Therefore, $x = 10 \cos \beta$.

• Relationship for the height ($h$) the ladder reaches on the wall:

  $$\sin \beta = \frac{\text{Opposite}}{\text{Hypotenuse}} = \frac{h}{10}$$

  Therefore, $h = 10 \sin \beta$.

• Relationship between $h$ and $x$:

  $$\tan \beta = \frac{\text{Opposite}}{\text{Adjacent}} = \frac{h}{x}$$

• Pythagorean Theorem:

  $$x^2 + h^2 = 10^2$$ $$x^2 + h^2 = 100$$

Since the specific question is missing, these are the fundamental relationships derived from the given information. For example, if the question asked for $x$ in terms of $\beta$, the answer would be $x = 10 \cos \beta$.