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
jeka94
3 years ago
5

A traffic camera sits on top of a tower that has a height of 39 ft. The angles of depression of a car on a straight road at the

same level as that of the base of the tower and on the same side of the tower are 31°. Calculate the the distance between the base of the poll and the car. Round to the nearest tenth of a foot. *
Mathematics
1 answer:
MrMuchimi3 years ago
7 0

Answer:

48ft

Step-by-step explanation:

  • <u>Distance of car A from the tower</u>
  • Consider ∆ACD tan25 = 50/AC AC  = 50/tan25 = 50/0.4663 = 107.2 ft
  • <u>Distance of car B from the tower</u>
  • Consider ∆BCD tan40 = 50/BC AC  = 50/tan40 = 50/0.8391 = 59.6 ft

  • <u>Distance from cars A and B</u> AB = AC – BC = 107.2 – 59.6 = 48 ft The distance between the two cars is 48ft
You might be interested in
What is the constant of proportionality in this graph?
lana [24]

Answer:

one half or 1/2

Step-by-step explanation:

do your rise over your run on the graph.

7 0
3 years ago
Equation of the line contains the points (-3,2) and (5,-5)
makkiz [27]

For this case we have that by definition, the equation of the line of the slope-intersection form is given by:

y = mx + b

Where:

m: It is the slope of the line

b: It is the cut-off point with the y axis

We have the following points through which the line passes:

(x_ {1}, y_ {1}): (- 3,2)\\(x_ {2}, y_ {2}) :( 5, -5)

So the slope is:

m = \frac {y_ {2} -y_ {1}} {x_ {2} -x_ {1}} = \frac {-5-2} {5 - (- 3)} = \frac {-7} {5 + 3} = - \frac {7} {8}

Thus, the equation of the line is of the form:

y = - \frac {7} {8} x + b

We substitute one of the points and find "b":

2 = - \frac {7} {8} (- 3) + b\\2 = \frac {21} {8} + b\\b = 2- \frac {21} {8}\\b = \frac {16-21} {8}\\b = - \frac {5} {8}

Finally, the equation is:

y = - \frac {7} {8} x- \frac {5} {8}

Answer:

y = - \frac {7} {8} x- \frac {5} {8}

6 0
3 years ago
Can anyone help me please solving this maths problems not sure if. Thanks
Marrrta [24]
The reason you can only compare the numerators is because the denominators are the same- leaving little comparison to really make. The numerators will determine which fraction is greater or smaller.

Ex. 4/5 or 3/5

which is greater? Which is smaller?

It can be seen that the denominators are the same, now finally comparing the numerators will answer both questions.

please vote my answer brainliest. thanks!
5 0
3 years ago
Rooter Plus charges a $25 service fee plus $40 per hour of work done. Is this a proportional or non-proportional relationship?
Dominik [7]

Answer:

Non-proportional; the rate of change is $40/hour

Step-by-step explanation:

we know that

A relationship between two variables, x, and y, represent a proportional variation if it can be expressed in the form y/x=k or y=kx

In a proportional relationship the constant of proportionality k is equal to the slope m of the line <u>and the line passes through the origin</u>

Let

x -----> the number of hours

y ----> The total charge in dollars

The equation of the line in slope intercept form is equal to

y=mx+b

where

m is the slope

b is the y-intercept

we have

m=40\ \$/h\\b=\$25

substitute

y=40x+25

This relationship is not proportional, because the line not passes through the origin

therefore

Non-proportional; the rate of change is $40/hour

5 0
3 years ago
Peter has four horses.Each one eats 4 pounds of oats,twice a day.How many pounds of oats does he need to feed his horses for 3 d
Kobotan [32]
4 pound of oats twice a day= 8 pounds of oats each day per horse. He has 4 horses so 4 horses times 8 pounds of oats is 32. You multiply 32 pounds times the three days he has to feed which is 96 pounds.
8 0
3 years ago
Read 2 more answers
Other questions:
  • D - (0.26)d what is this i need help so i can pass
    5·1 answer
  • Translate the following into algebraic form: The difference of forty-seven and a number
    15·1 answer
  • Divide 33 photos into two groups so the ratio is 4 to 7.
    6·1 answer
  • Chico is financing a car for $9,550 and an APR 8.9 percent for 3 years. What is his monthly payment if the monthly payment per $
    12·1 answer
  • HELP......HELP ME
    8·1 answer
  • The following table shows how many pie 4 baking team made at a pie-baking competition. For example, Team crusty baked 28 pies in
    6·2 answers
  • Help me please i need help read carefully and answer right plz and show proof or evidence
    9·1 answer
  • 0540-0058= ???<br> In military time
    7·1 answer
  • A right triangle has a leg of length 5 yards and a hypotenuse of length 18 yards. Find the length of the other leg. Provide an a
    15·2 answers
  • Please help asap asap asap
    5·2 answers
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!