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
Relationship between angle 1 and angle 3 is corresponding angles.
a. line d and e are parallel to each other
Taking into account the definition of percentage, the correct option is: 21 percent of her net pay is left for savings.
First of all, the percentage represents a given quantity that establishes relationships between two quantities, using the number 100 as a reference.
That is, the percentage indicates what part of a total represents a quantity.
To obtain the percentage, the division must be made between the portion of the total and the total amount that belongs to the set, whose result is multiplied by 100.
In this case, if Lillie's current monthly net pay and her monthly expenses are $ 387.10, and I assume that the rest of the money is saved by Lillie, then the amount of money saved is $ 490 - $ 387.10 = $ 102.9.
Then:
- portion of the total= amount of money saved= $102.9
- total amount= Lillie's current monthly net pay= $490
So, the percentage is calculated as:
percentage= (102.9÷490) ×100
percentage= 0.21×100
percentage= 21%
The correct option is: 21 percent of her net pay is left for savings.
Learn more about percentage with this examples:
A hamburger costs $2.5 and a milkshake costs $1.75
Step-by-step explanation:
- Step 1: Form equations from the given details. Let cost of 1 hamburger be H and cost of 1 milkshake be M.
4H + 2M = 13.50 ------ (1)
& 3H + 1M = 9.25 ------ (2)
- Step 2: Multiply eq(2) with 2 to make coefficients of M equal.
6H + 2M = 18.50 ------- (3)
- Step 3: Subtract eq(3) from eq(1)
⇒ - 2H = - 5
⇒ H = $2.5
- Step 4: Substitute value of H in eq(2) to find M.
⇒ 3 × 2.5 + M = 9.25
⇒ 7.5 + M = 9.25
⇒ M = $1.75
