You are standing 44 meters from the base of a 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 121meters above the 86th floor, what is the approximate height of the building? (Round your answers to one decimal place.)
meters
One of your friends is on the 86th floor. What is the distance between you and your friend?
meters

Answers

Answer 1
Answer:

The height of the building is 313 m while the friend is 192 m above me.

What is the angle of elevation?

The angle of elevation is the angle between the horizontal plane and the line of sight or upward direction to an object or point of interest. It is typically measured in degrees, minutes, and seconds.

The angle of elevation is commonly used in trigonometry, surveying, and navigation to determine the height or distance of an object.

Let the distance from the ground frond to the 86th floor be x

We would now have that;

Tan 82 = 121 + x/44

44Tan 82 = 121 + x

313 = 121 + x

x = 313 - 121

x = 192 meters

Total height of the building = 192 m + 121 m = 313 m

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Sasha solved an equation, as shown below:Step 1: 8x = 56
Step 2: x = 56 – 8
Step 3: x = 48

Part B: How many solutions does this equation have? (4 points)

Answers

corrections
8x=56
divide both side by 8
x=7

An iron tank is constructed in the form of an isosceles trapezoid. Each base angle measures 105°, the length of the base is 10 feet, and each of the nonparallel sides is 12 feet long. Determine the length of a diagonal brace to the nearest whole number.10 ft
13 ft
18 ft
24 ft

Answers

The right answer for the question that is being asked and shown above is that: "13 ft."An iron tank is constructed in the form of an isosceles trapezoid. Each base angle measures 105°, the length of the base is 10 feet, and each of the nonparallel sides is 12 feet long. The length of a diagonal brace to the nearest whole number is 13 ft

Answer:

Its 18ft

Step-by-step explanation:

since the angle is so large it travels further out than you think

Nicole runs 6 miles in 45 minutes. At the same rate, how many minutes would she take to run 4 miles?

Answers

Answer:

30 minutes

Step-by-step explanation:

6=45

4=x

6x2/3=4

45x2/3=30

x=30

Answer:

66 minutes

Step-by-step explanation:

Standard form for 94 million,237 thousand ,108

Answers

Answer:

Standard form = 94,237,108.

Step-by-step explanation:

Given  : 94 million,237 thousand ,108

To find : Write is in Standard form .

Solution : We have given 94 million,237 thousand ,108

94 million = 94, 000,000.

237 thousand = 237, 000.

108.

Standard form = 94,000,000+237,000+108.

Standard form = 94,237,108.

Therefore, Standard form = 94,237,108.

94,237,108

94= Millions
237= Thousands
108= Hundreds

Find the value of x.

Answers

Answer:

110 degrees

Step-by-step explanation:

The sum of all the interior angles of a polygon is always equal to 180(n-2) where n is the number of sides. In this figure, there are 7 sides. This means that the sum of all the interior angles is 180(7-2) = 180 * 5 = 900.

Now, add up all the angles that you know and subtract that from 900 to find the value of x.

900 - (105 + 150 + 140 + 135 + 125 + 135) = 900 - 790 = 110 degrees

110 degrees ^^^^^^^^^

Graph f(x)=3/2x+2. Use the line tool and select two points to graph the line.

Answers

The points are (-1.333, 0) and (0, 2).

What is equation of line?

The set of points that make up a line in a coordinate system are represented algebraically by a line's equation.

An equation of a line is an algebraic expression that represents the several points that together make up a line in the coordinate axis as a set of variables, x, and y.

The given term is,

f(x) = 3/2x+2,

Substitute f(x) = y

y=3/2x+2    (1)

Since, the standard form of equation of line is y=mx+c

compare equation (1) which standard equation of line,

m=3/2, and c=2

On the graph of the line the points are, (-1.333, 0) and (0, 2).

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