Answer:
The base of the ladder is 3.2 meters far from the wall.
Step-by-step explanation:
We need to calculate the base of a right triangle. The given information is:
h: hypotenuse = length of the ladder = 6 m
b: is the base =?
θ: is the angle between the hypotenuse and the base = 58°
To find the base we can use the following trigonometric equation:


Therefore, the base of the ladder is 3.2 meters far from the wall.
I hope it helps you!
The cook do not have enough flour. He only has 2.67 cups of flour while the recipe needs 2.75 cups of flour. Therefore, he needs 0.08 more cups of flour in order to have enough for the recipe. Hope this answers the question. Have a nice day.
The distance formula is:

We are given two points in the form (x,y), so plug in the values to the distance formula:

Next we can simplify. We know that 12-12 is 0, so we can drop it from the equation, as it will not affect our answer. Also, we know that -10-15 is -25:

The square and square root cancel each other out leaving us with 25.
The answer is 25.