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
What is 123 times 35?
Elanso [62]

Answer:

4305

Step-by-step explanation:

  123

<u>×   35</u>

4305

8 0
3 years ago
How do I solve for -31 -8r = -3(5r -6)
Dennis_Churaev [7]
Our current equation is:
-8r -31 = -3(5r -6)
To solve for this, we need to get r on one side of the equation and then simplify if needed.
On the right side of the equation, we have a pending Distributive Property, which is when you multiply the number/variable outside of the parenthesis by all numbers/variables in the parenthesis.
Let's simplify this Distributive Property to help understand our equation better.
-3(5r -6)
Multiply -3 by each number/variable separately (unless they are already being multiplied, like 2x, 1/2x, etc).
-3(5r) + -3(-6).
-3(5r) = -15r
-3(-6) = 18 (both negatives need to be in parenthesis to keep a product as negative, and if you do not multiply them in that way, you will end up with a positive product).
Your equation now is:
-8r -31 = -15r + 18
Add 15r to both sides to get r on one side.
7r -31 = 18 is now our current equation.
Add 31 to both sides to get 7r by itself.
7r = 49 is now our equation.
r is still being multiplied by 7, so we need to do the opposite of multiplying by 7.
Divide both sides by 7.
r = 7.
I hope this helps!
8 0
3 years ago
Gwen is going to Turkey. The exchange rate is £1 = 5.8427 lira. She changes £424 to lira. How
laiz [17]

______________________________

<h3>= £424 × 5.8427lira</h3><h3>= <u>2,477.31 lira</u></h3><h3>Gwen Will Get 2,477.31 lira</h3>

______________________________

5 0
3 years ago
Please help i'm so confused
umka21 [38]

Answer:

if it's bot raining, then it's sunny

8 0
3 years ago
Find the distance between the two points in simplest radical form.<br> (-1, -5) and (4,7)
Neporo4naja [7]

Hope t will help u..........

6 0
3 years ago
Other questions:
  • What is the probability of obtaining two tails when flipping a coin
    11·1 answer
  • By increasing speed of car by 10km/hr the time for journey of distance 72km/hr is reduced by 36mins.find original speed of car
    10·1 answer
  • All the questions ASAP
    14·1 answer
  • Guys help me on this I can’t do it, it’s super hard, it is a very hard math equation, I don’t even think you guys will be able t
    12·1 answer
  • Help plz:)))I’ll mark u Brainliest
    9·1 answer
  • How many dimes equal the value of 6 quarters.show you step​
    10·2 answers
  • Mr. Trier charges $25 per hour for tutoring services plus a one-time fee of $15 for supplies. How many tutoring sessions(t) can
    8·1 answer
  • Find the explicit of 3xy+x=y-6
    8·1 answer
  • Scott makes $12 per hour babysitting and $8 per hour working at the grocery store. He will need to make
    15·1 answer
  • If Kerri has 2 3/4yogurt packs, how many friends can<br> she feed?
    5·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!