Answer:
83 m (nearest metre)
Step-by-step explanation:
This can be modeled as a <u>right triangle</u>, where the base is 60 m and the height is the height of the building.
<u>Alternate Interior Angles Theorem (Z-angles)</u>
If a line intersects a set of parallel lines in the same plane at two distinct points, the alternate interior angles that are formed are congruent.
Using the Alternate Interior Angles theorem, the angle between the ground and the dashed line (angle of elevation) is 54°.
<u>Tan trigonometric ratio</u>
where:
- is the angle
- O is the side opposite the angle
- A is the side adjacent the angle
Given:
- = 54°
- O = height of building (h)
- A = 60
Substituting the given values into the formula and solving for h:
Answer:
Step-by-step explanation:
<u>Theorem 1:</u> The height of right triangle drawn from the right angle to the hypotenuse divides the hypotenuse into two segments. The length of the altitude is the geometric mean of these two segments. Hence,
<u>Theorem 2:</u> In a right triangle, the altitude drawn from the right angle to the hypotenuse divides the hypotenuse into two segments. The length of each leg of the right triangle is the geometric mean of the lengths of the hypotenuse and the segment of the hypotenuse that is adjacent to the leg.
Thus,
The first answer is -15-20x.
The second answer is -42b-21.
Ask in the comments section if you want me to explain, other than combining like terms and using the distributive property. I hope this helps!
So as you know, one gallon has 16 cups, and there's 7 days in a week. So, if you multiple 1.5 by 7 you would get 10.5 cups per week, then divide that by 16 and get .65625 gallons per week.