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:
Step-by-step explanation:
Answer:
this is a 60 60 60 triangle, so one exterior angle is 120 degrees.
Step-by-step explanation:
hope it helps!
Answer:
x = -6
Step-by-step explanation:
Simplifying
3(1.5x + 9) = 0
Reorder the terms:
3(9 + 1.5x) = 0
(9 * 3 + 1.5x * 3) = 0
(27 + 4.5x) = 0
Solving
27 + 4.5x = 0
Solving for variable 'x'.
Move all terms containing x to the left, all other terms to the right.
Add '-27' to each side of the equation.
27 + -27 + 4.5x = 0 + -27
Combine like terms: 27 + -27 = 0
0 + 4.5x = 0 + -27
4.5x = 0 + -27
Combine like terms: 0 + -27 = -27
4.5x = -27
Divide each side by '4.5'.
x = -6
Simplifying
x = -6
Answer:
17% off $35
Step-by-step explanation:
The reason I say 17% off $35 is better price is because you get $5.95 off the original price.
So how did you do it they wonder, well in order to find out how much we are going to be taking off of a number as a percentage we have to turn 17% and 12% into a decimal by multiplying 17% and 12% by 100.
17% * 100 = 0.17
12% * 100 = 0.12
Now we multiply 0.12 by $32 and 0.17 by $35 in order to find out how much money you are saving:
0.12 * $32 = $3.84
0.17 * $35 = $5.95
So since $5.59 is bigger than $3.84 you have your answer 17% off $35 is a better price.
