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
Translation means you are shifting the line either up or down.
Answer:
It will cost $72 Justice to fence in his garden.
Step-by-step explanation:
Total length of the fencing around the garden = 24 feet
Cost of fencing per inch = $0.25
Now, as we know 1 foot = 12 inches
⇒ 24 feet = 24 x 12 inch = 288 inches
⇒ 24 feet = 288 inches
Hence, the total length of fencing = 288 inches.
Now, Total cost of Fencing
=Total length of fencing x Cost of fencing par inch
= 288 inches x ($0.25)
= $ 72
or, the total cost of fencing = $72
Hence, it will cost $72 Justice to fence in his garden.
Answer & Step-by-step explanation:
2a - b : 2a + b = 1 : 2
2a - b = 1
- Elimination
2a + b = 2
-b - (b) = -1
-2b = -1
b = 0.5
---------------------------------------------------------------------------------
2a + b = 2 Substitution
2a + 0.5 = 2
2a = 1.5
a = 0.75
--------------------------------------------------------------------------------------
a:b
0.75 : 0.5
or
3/4 : 1/2
Hope this helps!!!
