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Sauron [17]
3 years ago
11

Help with this please

Mathematics
1 answer:
yaroslaw [1]3 years ago
5 0
Dfe is 45
Bfa is 45
Cfe 120
Efb is 180
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The angle of elevation from the top of a 95 foot tall building to a hot air balloon in the sky is 76degree.If the horizontal dis
Lera25 [3.4K]

Answer: 1,514.816\ feet

Step-by-step explanation:

See the image attached, where "x" represents the height in feet of the hot air balloon.

Notice that:

x=95+BC

To find the lenght of the side BC of the right triangle, you need to use the following Trigonometric  Identity:

tan\alpha=\frac{opposite}{adjacent}

Observe that:

\alpha =76\°\\opposite=BC\\adjacent=AC=354

Substituting values and solving for "BC", you get:

tan(76\°)=\frac{BC}{354}\\\\(tan(76\°))(354)=BC\\\\BC=1,419.816

Therefore "x" is:

x=95+1,419.816\\\\x=1,514.816

4 0
4 years ago
Three ballet dancers are positioned on stage. If Lauren is 6 meters straight behind Alexa and
HACTEHA [7]

Answer:

d = 10 m

Step-by-step explanation:

Given that,

tLauren is 6 meters straight behind Alexa and  8 meters directly left of Danielle. We need to find the distance between Alexa and Danielle. It can be calculated using Pythagoras theorem such that,

d=\sqrt{8^2+6^2} \\\\d=10\ m

So, the distance between Alexa and Danielle is 10 m.

6 0
3 years ago
If you are driving 50 miles per hour for 600 miles, and wanted to know how far you had
n200080 [17]
I believe the answer is 12 because if but in y= Mx+b format you would get 600= 50x. Then to solve you would dived 600 by 50 and get 12
3 0
3 years ago
Determine the slope of the line passing through the given points.<br><br> (-2, -2) and (-2, 3)
saveliy_v [14]

Answer:

Point-Slope: -2

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3 years ago
Determine the perimeter of the shape.<br><br> Determine the area of the shape in two ways.
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Area: Length times width

6 0
2 years ago
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