1answer.
Ask question
Login Signup
Ask question
All categories
  • English
  • Mathematics
  • Social Studies
  • Business
  • History
  • Health
  • Geography
  • Biology
  • Physics
  • Chemistry
  • Computers and Technology
  • Arts
  • World Languages
  • Spanish
  • French
  • German
  • Advanced Placement (AP)
  • SAT
  • Medicine
  • Law
  • Engineering
Marizza181 [45]
3 years ago
5

Anna and Veronica are on the opposite sides of a tower of 160 meters height. They measure the angle of elevation of the top of t

he tower as 40° and 55° respectively. Find the distance between the two friends.
Mathematics
1 answer:
MAXImum [283]3 years ago
8 0

Answer: The distance between the girls is 362.8 meters.

Step-by-step explanation:

So we have two triangle rectangles that have a cathetus in common, with a length of 160 meters.

The adjacent angle to this cathetus is 40° for Anna, then the opposite cathetus (the distance between Anna and the tower) can be obtained with the relationship:

Tan(A) = opposite cath/adjacent cath.

Tan(40°) = X/160m

Tan(40°)*160m = 134.3 m

Now, we can do the same thing for Veronica, but in this case the angle adjacent to the tower is 55°

So we have:

Tan(55°) = X/160m

Tan(55°)*160m = X = 228.5 m

And we know that the girls are in opposite sides of the tower, so the distance between the girls is equal to the sum of the distance between each girl and the tower, then the distance between the girls is:

Dist = 228.5m + 134.3m = 362.8m

You might be interested in
claudia bought a television at a 25% discount . the original price of the television was $349. there wasa 7% sales tax. how much
Scrat [10]
349 * .75 = $261.75
$261.75 * 1.07 = $280.07
6 0
3 years ago
Annie needs $30 to buy a coat. She has saved $12 and plans to work as a babysitter to earn $6 per hour. Which inequality shows t
algol [13]
Annie's total earnings from her initial savings, $12, and from babysitting should be equal or more than 30. Annie's total earnings from babysitting may be expressed as $6n. The inequality should be,
 
                                           12 + 6n <span>≥ 30

Solving for x,
                                             6n </span><span>≥ 30 - 12
</span><span>
                                        6n </span>≥ 18    ;     n <span>≥ 3
</span><span>
Thus, the answer is the second among the choices. 

</span>
6 0
3 years ago
Read 2 more answers
78/14 Between which two consecutive whole numbers does this value lie? Enter your numbers in the box
Zigmanuir [339]

Given number is 78/14.

We have to find two whole numbers between which given number 78/14 lies.

Let's convert that into mixed fraction.

To do that we divide 78 by 14 to find the quotient.

We see that 14 goes 5 times into 78 and leaves remainder of 8.

So we can rewrite 78/14 as 5\frac{8}{14}.

5\frac{8}{14} means little more than 5 but less than 6.

So required two whole numbers are 5 and 6.



5 0
3 years ago
What is the value of x?
Rufina [12.5K]

Answer:

X=23

Step-by-step explanation:

You should know that a triangle =180 degrees

Add all your angles together and =180

66+2x+3+3x-4=180

add similar terms

5x+65=180

Move your 65 to the other side

5x=115

x=23

(Optional)

to check if your answer is right substitute your x and add all angles together you should get 180 degrees.

6 0
4 years ago
Emily is mowing her lawn which is in the shape of a rectangle with a length of 10 feet and width of 12 feet. Emily completed mow
docker41 [41]
So what you do first is find the area of this lawn and you do 10 by 12 and multiply those and you get 120 feet so now what you do is divived 120 by 3 and you get 40 so that means she mowed 40 ft in each hour so that would be the unit rate.
6 0
3 years ago
Read 2 more answers
Other questions:
  • Write quadratic equation whose roots are 4 and -2 and whose leading coefficient is 5
    10·1 answer
  • What would the next figure in the geometric pattern below be?
    13·1 answer
  • URGENT!!!!!!!!!!11!! Plz HElP
    8·1 answer
  • What is nuclear waste?whats the answer frnds
    6·1 answer
  • Find the intervals over which the function is increasing. I think it's B which is (-oo,-1),(-1,0) but want to make sure
    10·2 answers
  • Anna can buy 12 muffins for $4.80 or 6 muffins for $2.70. Which is the better deal? Explain
    6·1 answer
  • In a police on the interstate, the suspect's car reached a speed of 88 miles per hour for the total 15 minutes. In the time, how
    9·2 answers
  • Blood is a buffer solution. When carbon dioxide is absorbed into the bloodstream, it produces carbonic acid and lowers the pH. T
    7·1 answer
  • Slope is equal to rise divided by one. If you know the horizontal distance (run) in the slope, how can you find the vertical dis
    14·1 answer
  • PLS HELP MEEEEE!!!!!!!!!!!!
    13·2 answers
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!