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
mojhsa [17]
3 years ago
5

from the top of a barn 25 feet tall, you see a cat on the ground. The angle of depression to the cat is 40°. How many feet must

the cat walk to reach the barn.
Mathematics
1 answer:
Tanya [424]3 years ago
8 0

Answer:

21 feet (20.977)

Step-by-step explanation:

1. Draw a picture, it makes it much easier. Draw a right triangle with the vertical labeled 25 and the horizontal labeled X, then label the angle adjacent to the horizontal and hypotenuse 40°

2. Use tangent because X is opposite of 40 and 25 is adjacent to angle 40. the equation would be Tan40/1 = X/25

3. You then cross multiply to get 25Tan(40) = X

4 You then plug it into a calculator and get the full answer of 20.97749078, but I always round up to either 20.98 or 21 feet, whatever your teacher allows

You might be interested in
a lady left from Nakuru to Mombasa she drove for 1 hour 45 min she toke a 15 min break then she drives for another 1 hour 20 min
BabaBlast [244]

drove 1h 45 min

break 15 min

drives 1h 20 min

1h 45min+1h 20 min+15min=3h 20min

3h 20 min=3 1/3h

3 1/3h*75 km/hr=<u>250 km</u>

7 0
3 years ago
What is the image of ( 0 , -6 ) after a reflection over the line y = x?
Alla [95]

Answer:

(-6, 0)

Step-by-step explanation:

(x, y) over y=x = (y, x)

so (0, -6) will be (-6, 0).

3 0
3 years ago
Customers arrive at a restaurant according to a Poisson distribution at a rate of 20 customers per hour. The restaurant opens fo
jenyasd209 [6]

Answer:

0.087

Step-by-step explanation:

Given that there were 17 customers at 11:07, probability of having 20 customers in the restaurant at 11:12 am could be computed as:

= Probability of having 3 customers in that 5 minute period. For every minute period, the number of customers coming can be modeled as:

X₅ ~ Poisson (20 (5/60))

X₅ ~ Poisson (1.6667)

Formula for computing probabilities for Poisson is as follows:

P (X=ₓ) = ((<em>e</em>^(-λ)) λˣ)/ₓ!

P(X₅= 3) = ((<em>e</em>^(-λ)) λˣ)/ₓ! =  (e^-1.6667)((1.6667²)/3!)

P(X₅= 3) = (2.718^(-1.6667))((2.78)/6)

P(X₅= 3) = (2.718^(-1.6667))0.46

P(X₅= 3) = 0.1889×0.46

P(X₅= 3) = 0.086894

P(X₅= 3) = 0.087

Therefore, the probability of having 20 customers in the restaurant at 11:12 am given that there were 17 customers at 11:07 am is 0.087.

8 0
3 years ago
What is an example of karma
Leokris [45]

Answer:

Negative karma: You yell at someone for being dumb, but you fail your exam.

Good karma: You give money to the homeless, and then find money on the floor.

4 0
3 years ago
Read 2 more answers
Please help- help me
ratelena [41]

Answer:

first option

Step-by-step explanation:

4 0
3 years ago
Other questions:
  • Please help me with this Question i could really use some help...
    13·1 answer
  • To find a baseball pitcher's earned run average (ERA), you can use the formula Ei=9r, where E represents ERA, i represents numbe
    12·2 answers
  • If r&gt; 0 and r^t = 6.25r^t+2, then r =
    15·1 answer
  • Find the areas of the trapezoids.
    14·2 answers
  • The product of three and a number is thirty.
    11·2 answers
  • Number of Text Messages a Day A random sample of n = 755 US cell phone users age 18 and older in May 2011 found that the average
    14·1 answer
  • Determine if the sequence is arithmetic, geometric or neither
    5·1 answer
  • Pls answer both questions for branliest and 20 points
    8·2 answers
  • Each side of a sandbox is 6 feet long. It will cost $3.00 per square foot to replace the sand in the sandbox. What would be the
    7·1 answer
  • Square ABCD is divided into 5 rectangles that all have the same area. FH = 20 and CK = KD. Find the length of BE.
    5·2 answers
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!