Answer:
<em>The height of the bullding is 717 ft</em>
Step-by-step explanation:
<u>Right Triangles</u>
The trigonometric ratios (sine, cosine, tangent, etc.) are defined as relations between the triangle's side lengths.
The tangent ratio for an internal angle A is:

The image below shows the situation where Ms. M wanted to estimate the height of the Republic Plaza building in downtown Denver.
The angle A is given by his phone's app as A= 82° and the distance from her location and the building is 100 ft. The angle formed by the building and the ground is 90°, thus the tangent ratio must be satisfied. The distance h is the opposite leg to angle A and 100 ft is the adjacent leg, thus:

Solving for h:

Computing:
h = 711.5 ft
We must add the height of Ms, M's eyes. The height of the building is
711.5 ft + 5 ft = 716.5 ft
The height of the building is 717 ft
Answer:
<h2>Midpoint (1 , 5)</h2>
Step-by-step explanation:
Let (x , y) be the coordinates of the midpoint then:

36,700, it stays the same
Answer:
All real values, (-∞, ∞)
Step-by-step explanation:
<u>Step 1: Distribute</u>
5y + (86 - y) = 86 + 4y
5y + 86 - y = 86 + 4y
<u>Step 2: Combine like terms</u>
5y + 86 - y = 86 + 4y
4y + 86 = 86 + 4y
<u>Step 3: Subtract 4y from both sides</u>
4y + 86 - 4y = 86 + 4y - 4y
86 = 86
<u>Step 4: Subtract 86 from both sides</u>
0 = 0
Answer: All real values, (-∞, ∞)
3 1/4 ÷ 2 = 1.625 or 1 5/8 cups of flour in each bowl.