Answer:
[45tan(82°)+123] meters
A is correct
Step-by-step explanation:
You are standing 45 meters from the base of the Empire State Building.
You estimate that the angle of elevation to the top of the 86th floor(the observatory) is 82°.
If the total height of the building is another 123 meters above the 86th floor.
OB = 45 m , ∠O= 82°
In Δ OBA, ∠B = 90°
Top of the building, T at 123 m from A
Total height of building = BA + AT
Hence, The height of building from ground is [45tan82°+123] meters
Answer:
The shortest distance from A to C is 
Step-by-step explanation:
see the attached figure to better understand the problem
we know that
The shortest distance from A to C is the hypotenuse of the right triangle AYC
Applying the Pythagoras Theorem
step 1
Find the length YC (hypotenuse of the right triangle YBC)
Applying the Pythagoras Theorem
substitute the given values
step 2
Find the shortest distance from A to C
substitute the given values
The legs of the triangle are 6.91 feet, 7.9 feet, and 10.5 feet.
<h3>What is a Pythagoras theorem?</h3>
The Pythagoras theorem states that the sum of two squares equals the squared of the longest side.
The Pythagoras theorem formula is given as
H² = P² + B²
The ratio of the one leg of the right triangle to the other leg of the right triangle must be 8:7.
Let x be one leg and y be another leg. Then we have
x/y = 8/7
y = 7x/8
Then the greatest length of one leg of the right triangle given the other leg of the right triangle is 10.5 feet will be
10.5² = x² + (7x/8)²
110.25 = x² + 49x²/64
110.25 = 113x²/64
x² = 62.44
x = 7.902
x ≅ 7.9 feet
Then the other leg will be
y = 7.9 x 7 / 8
y = 6.91
More about the Pythagoras theorem link is given below.
brainly.com/question/343682
#SPJ1
Answer: Edit: sorry I misread the question
There are 16 ounces per pound so 16 x 8 is154 ounces then about 4 more ounces to get the .34 so in total 158 fl ounces∀
