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loris [4]
3 years ago
5

A person on the top of a tall building looks through his binoculars at his friend that is 300 ft away from the building on the g

round. If the angle of depression from the person on the building is 30°, how far are the two people away from one another? Round your answer to the nearest foot. ​

Mathematics
1 answer:
Nimfa-mama [501]3 years ago
4 0

Answer:

520 feet

Step-by-step explanation:

The easiest way to visualize this problem is to sketch a quick diagram.

For this problem, you are given an angle and the length of the side of a triangle. If you look at the diagram, you'll see that the length given is the opposite side of the angle given. For this situation, that means you will use the sine function (refer to SOH-CAH-TOA acronym). Then you plug in the given values and solve for x.

Hope this helps!

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Can someone please help
irina1246 [14]

Answer:

134.04 cm³ (rounded to tenths)

Step-by-step explanation:

The radius(r) is 4 cm

The height(h) is 8 cm

Using the equation and plugging in the values, you get

\frac{\pi *4^{2}*8 }{3} = 134.0412866

3 0
2 years ago
What is the definition of mean???
Scilla [17]
Mean, in terms of math, is the total added values of all the data in a set divided by the number of data <em>in</em> the set. Make sense? If not, here' an example...

Let's say this is my data set:
1, 2, 5, 4, 3, 8, 7, 4, 6,10

To find the mean...
Step 1: Add all of them together.
1+2+5+4+3+8+7+4+6+10 is what? 50. Now that you have this number...
Step 2: Divide by the amount there are. Basically, count up all of the numbers. How many are there? There are 10. Finally...
Step 3: Divide. 50/10 is 5, so the mean of this data set would be 5. Get it? I sure hoped this helped :)
3 0
3 years ago
Ms. Snyder is giving a 28-question test that is made up of multiple choice questions worth 2 points each and open response quest
zlopas [31]

Answer:

x *2 + (28-x)*4 = 100

Step-by-step explanation:

Given

Total number of questions in the paper = 28

Out of these 28 questions let us say that x number of questions are of 2 points and 28-x questions are of 4 points.

Also, the complete test is of 100 marks

Thus, the linear equation representing the

x *2 + (28-x)*4 = 100

8 0
2 years ago
Which of the following methods would be the easiest to use to solve x2 + 5x – 6 = 0?
EastWind [94]
For me personally, the easiest way to do this is by isolating the x² term, and finding the square root of both sides. The hardest way (well actually, the longest way) would be to use the quadratic formula. It just complicates things unnecessarily. 
5 0
2 years ago
Solve this absolute value equation and show all work.
vitfil [10]
I was confused at first until I realized that you'd shared not one, not two, but three questions in one post.  would you please post just one question at a time to avoid this.

I'll focus on your second question only:  Solve <span>3 + |2x - 4| = 15.

Subtr. 3 from both sides.  Result:  |2x - 4| = 12

Divide all terms by 2, to reduce:    |x - 2| = 6

Case 1:  x-2 is already +, so we don't need |    |:

                       x - 2 = 6    =>   x = 8 (first answer)

Case 2:  x-2 is negative, so |2x-4| = -(2x-4) = 6

             Then   -2x + 8 = 6.  Subtr. 8 from both sides:   -2x = -2

               Div both sides by -2:  x = 1 (second answer)

Be sure to check these results by subst. them into the original equation.

Please post your other questions separately.  Thanks and good luck!

</span>
6 0
3 years ago
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