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
levacccp [35]
3 years ago
6

the picture below shows the path that puppy Liz is running. The electrical post is 40 feet tall. Puppy liz usually starts at the

bench post and runs until she gets to the fire hydrant, rest, and then she runs back to the bench. How far does puppy Liz run to get to the fire hydrant?

Mathematics
2 answers:
anzhelika [568]3 years ago
8 0

Puppy Liz has to run approx 70ft to get to fire hydrant from the bench post.

Step-by-step explanation:

Let bench post be point A, fire hydrant be B and electrical post bottom be C and top be O.

We are given CO = 40ft

and angle BOC = 34°

angle AOC = 34 +23 = 57°

Let AB be y and AC be x

Clearly two right triangles are formed.

We can say,

In triangle BOC,

cos34° = Perpendicular ÷ Base = x÷40 => x = 40cos34°

and In triangle AOC

cos57° = Perpendicular ÷ Base = (x+y)÷40

substituting value of x from first equation to second we get,

40cos57° = 40cos34° + y

y = 40(cos57° - cos34°)

y = 40x1.75

y = 70ft which is the required answer.

svp [43]3 years ago
3 0

Answer:

<h2>The puppy runs 34 feet, approximately.</h2>

Step-by-step explanation:

The problems models two triangles, the right triangle can be solved using trigonometric reasons and the other triangles can solved using law of cosines.

The distance that the puppy is running comprehend a side of the first triangle, however before finding that side, we need to first find the longest side, which is from the top of the electrical post to bench, which comprehend the hypothenuse of the bigger right triangle.

Applying trigonometric reasons, we have

cos57=\frac{40}{x}\\ x=\frac{40}{cos57} \approx 73

This is the longest hypothenuse.

cos34=\frac{40}{y}\\ y=\frac{40}{cos34} \approx 48

This is the common side, which goes from the top of the electric pole to the fire hydrant.

Now we know the common side between triangles and the longest hypothenuse, we use the law of cosines to find the side that comprehend the distance covered by the poppy

d^{2}=x^{2}+y^{2}-2.x.y.cos23\\\\d^{2}=(73)^{2}+(48)^{2}-2(73)(48)cos23\\d=\sqrt{1182} \\d\approx 34

Therefore, the puppy runs 34 feet, approximately.

You might be interested in
Kaitlyn creates an architectural blueprint of a rectangular dining room.The area of the actual dining room is 900 times as large
8090 [49]
We need to make a scale between blueprint and actual size. The trick in this question is to understand that the scale for the areas and the scale for the lengths are different.
Scale for area is given in the question as
1 unit on blueprint = 900 units in actual.
As the dining room is given to be rectangular we can find the scale for lengths by taking square root of scale for area.

√1 unit on blueprint = √900 units in actual
Therefore, scale for length= 1:30

Thus, by using the scale we can calculate actual length corresponding to 4 inches on blueprint by multiplying 4 with scale
4 inches×1/30=120inches

Answer = 120 inches

6 0
3 years ago
Which is an irrational number?<br><br> 0/3<br> 4.37124<br> 5.2<br> /42.25
amid [387]
43.5 is the answer to the question
4 0
2 years ago
Find the slope <br> (-6,2) (4,5)
Misha Larkins [42]

Slope: 3/10

<u>Use the slope formula</u>

y_{2}-y_{1}/x_{2}-x_{1}\\5-2/4--6\\=3/10

<u>Note</u>

<u></u>(x_{1},y_{1})=(-6,2)\\(x_{2},y_{1}=(4,5)<u></u>

3 0
2 years ago
Read 2 more answers
6840 customers in 45 days
Leona [35]
The answer to the question

3 0
3 years ago
Answer the question below ​
Free_Kalibri [48]

Answer: 900

Step-by-step explanation: the basic formula for volume is length × width × height so 12x5x15=900

8 0
3 years ago
Read 2 more answers
Other questions:
  • Nao and Arban drive to work. Nao drives 95 miles in 2.5 hours. Arban drives 128 km in 1 hour 15 min. Work out the difference bet
    11·1 answer
  • Simplify this expression
    12·1 answer
  • How to find the square root of 128
    9·2 answers
  • You are rolling two dice at the same time. What is the probability of rolling a sum of 5 or 9?
    5·2 answers
  • PLEASE HELP ASAP 28 POINTS!!!! PLS PLS PLS PLS PLS PLS HELP
    7·2 answers
  • Please help with this
    11·1 answer
  • A.Two friends share 76 blueberries
    13·1 answer
  • Simplify- 28 x*5 y*-3 z w
    12·1 answer
  • 24. A rectangle has a length of x +5 and a width of 2x-9. Using the formula for the perimeter of a rectangle wrote an expression
    13·1 answer
  • Pencils come in packages of 10. Erasers come in packages of 12. Phillip want to purchase the smallest number of pencils and eras
    8·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!