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
alekssr [168]
3 years ago
11

A 96-ft high transmission tower casts a 72-ft long shadow. An anchor wire runs from the top of the tower to the tip of the shado

w. A ladder is set up vertically 66 feet from the base of the tower so the top of the ladder touches the wire. What is the height of the ladder?
A. 6ft
B. 8ft
C. 10ft
D. 12ft
Mathematics
1 answer:
galben [10]3 years ago
5 0
See attached picture and check solution below.
We are given with the following values:
A = length of transmission line = 96ft
B = length of shadow = 72 feet
C = distance of ladder to base of transmission line = 66 feet

Solve for angle created between the wire and tip of the shadow:
tan x = opposite/ adjacent
tan x = 96 feet / 72 feet
x = 53.13°

Solving for the height of the ladder:
tan x = Ladder length / (72-66)
tan 53.13° * (72-66) = ladder length
ladder length = 8 feet

The answer is letter "B" which is 8 feet.


 

You might be interested in
Use the slope-intercept method to graph the equation y=2x-4. Is (3,2) a solution?
Andru [333]
Yes, (3, 2) is a solution to y = 2x - 4. (:
8 0
2 years ago
Read 2 more answers
Divide. Write in simplest form. 10 divided by 1 2/3 ?
adell [148]

Answer: 6

Step-by-step explanation: First rewrite 10 as 10/1 and 1 and 2/3 as 5/3.

Mixed numbers can be changed to improper fractions by multiplying the denominator by the whole number and then adding the numerator. We then put out numerator over our old denominator.

So we have 10/1 ÷ 5/3 or 10/1 × 3/5.

It's important to understand that dividing by a fraction is the same as multiplying by its reciprocal. In other words, we can change the division to multiplication and flip the second fraction.

Now multiplying across the numerators and across the denominators, we have 30/5. Notice however that 30/5 is not in lowest terms so we divide the numerator and the denominator by the greatest common factor of 30 and 5 which is 6 and we end up with 6.

Therefore, 10 ÷ 1 and 2/3 = 6.

8 0
2 years ago
Find the range of the function y= 9x-2, where x>-2
RideAnS [48]

Answer:The given function is .Minimum or maximum value:At the extremum (maximum or minimum) value, the function will have zero slope. So, differentiate the given function once and equate it to zero to get the extremum point.dy/dx=0Now, check whether the point x=0 is corresponding to the maximum value or minimum value by differentiating the function twice,As  for all value of x, so x=0 is the point corresponding to minima.Put x=0 in the given function to get the minimum value.Domain and range:The function defined for all the values of the independent variable, x.So, the domain is .The range of the function is the possible value of y.The minimum value, for x=0, is y=7.The maximum value, as .Hence the range of the function is .The value of x for which the function is increasing and decreasing:If the slope of the function is negative than the function is decreasing, soThen, from equation (i), the value of x for which dy/dx<0,18x<0Hence, the function is decreasing for  .While if the slope of the function is positive than the function is increasing, soThen, from equation (i), the value of x for which dy/dx<0,18x>0Hence, the function is increasing for 

Step-by-step explanation:hope this helps

8 0
2 years ago
How to write 50 hundredths
NeX [460]

50 hundredths as a Fraction

Since 50 hundredths is 50 over one hundred, 50 hundredths as a Fraction is 50/100.



50 hundredths as a Decimal

If you divide 50 by one hundred you get 50 hundredths as a decimal which is 0.50.




50 hundredths as a Percent

To get 50 hundredths as a Percent, you multiply the decimal with 100 to get the answer of 50 percent.


3 0
3 years ago
Be helpful please !
kolbaska11 [484]

Answer:

ANSWER: angle <1 = 140°

3 0
2 years ago
Read 2 more answers
Other questions:
  • Sales tax in one state is 4%. What is the amount of tax on a $56.70 purchase?
    12·1 answer
  • What Is the midpoint of the line segment with endpoints (1, -6) and (-3, 4)?
    10·1 answer
  • Help please...whats an explicit equation?
    12·1 answer
  • Question:
    10·1 answer
  • Look for a pattern in the table to determine which model best describes the data.
    11·2 answers
  • Turn 3/25 to standard form​
    8·1 answer
  • How much greater is the value of 3x+5 than the value of 3x-7
    6·1 answer
  • A map is drawn to a scale of 1:50000.The distance between long mountain and plaine des papayes is 17.5 cm on the map.find the ac
    7·1 answer
  • Solve 3-²<br>I need work shown​
    9·1 answer
  • If figure 1 has 7 tiles and figure 2 has 9 tiles figure 3 has 11 tiles what Is the rule
    9·2 answers
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!