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
Irina18 [472]
3 years ago
10

To find the height of a pole, a surveyor uses a theodolite. The theodolite is 4 ft tall. The surveyor stands 140 feet away from

the base of the pole. Then she measures the angle of elevation to the top of the pole to be 44°. What is the height of the pole? Round the answer to the nearest foot.

Mathematics
2 answers:
Ad libitum [116K]3 years ago
6 0
Tan 44° = x/140

 x = 140 tan 44°

x approx = 140 * 0.9657 = 135.198

Remember, we need to add another 4 feet, so the answer would be 139.198 feet
makvit [3.9K]3 years ago
3 0

Answer:

Step-by-step explanation:

Alright, lets get started.

Please refer the diagram I have attached.

The height of pole will be in two parts, upper part is x and second will be the height of theodolite which is already given as 4 feet.

Using SOH CAH TOA in triangle ABC

tan 44=\frac{opposite}{adjacent}

tan44=\frac{x}{140}

x=140tan44=135.20

So the total length of pole is = 135.2+4=139.2

Rounding to the nearest feet, the height of pole is 139 feet.  :  Answer

Hope it will help :)

You might be interested in
A plumbing supplies manager realises he has a profit margin of 15%. His total sales for a month came $23,000. How much of this i
mart [117]
The percentage of profit margin that
the plumbing supplies manager realizes that he has = 15%
Total sales for the month made by the plumbing supplies manager = $23000
Then
Amount of profit that has been made
by the plumbing sales manager = 15% * 23000 dollars
                                                    = (15/100) * 23000 dollars
                                                     = 15 * 230 dollars
                                                     = 3450 dollars
So the plumbing manager makes a profit of $3450 in the month as can be seen from the above deduction.
6 0
3 years ago
Put these numbers in order from least to greatest. I'm too lazy to do it.
Usimov [2.4K]

Answer:

1,3,4,5,6,10,11,14,16,17,18,20

Step-by-step explanation:

I've been there so many times. Hope you have a great day!

3 0
3 years ago
An isocost line will be shifted further away from the origin:_______.
otez555 [7]

Answer:

D. All the above are correct

Step-by-step explanation:

An isocost line will be shifted further away from the origin if the total cost increases, if the price of both inputs increases or there is an advance in technology.

An isocost line can be defined as the graphical representation of various combinations of two inputs factors (labor,L and capital, K) which the firm can afford or purchase with a given amount of money.

An isocost line can be expressed mathematically as:

C = w L + r K

Where,

C = cost of production

w = price of labor or wages

L = units of labor

r = price of capital or interest rate

K =units of capital

Isocost is used to determine what combination of factor inputs the firm will choose for production process.

6 0
3 years ago
Was it evaluated correct?<br>explain your reasoning​
natali 33 [55]

Answer:

Yes

Step-by-step explanation:

Yes.  They did exponents and grouping symbols first, then multiplication and division left to right.  Addition came before multiplication and division because it was inside a grouping symbol.

8 0
3 years ago
A family went out to dinner and the cost of the food was $80. If the tip given was 15%, what
barxatty [35]
It should be $92.00

80 • .15 = 12
so 15% of the total ($80) is 12.

add the 12 to the total 80+12= $92
8 0
3 years ago
Read 2 more answers
Other questions:
  • You need at least nine decimal places on this problem. You may want to use fractions instead. There are 8 candidates for a posit
    12·1 answer
  • Select the decimal that is equivalent to 7/8
    8·1 answer
  • $250 at 4% for 1 year<br> What is the balance of the account?
    14·2 answers
  • A. Does the table represent a proportional relationship?
    8·1 answer
  • The longest side of a triangle is 3 in. longer than the shortest side. The medium side is 2 in. longer than the shortest side. I
    11·2 answers
  • Can someone help me out? :(
    15·2 answers
  • Please find the mean,median,mode, and range!!!<br><br> will give brainliest
    13·1 answer
  • Which of the following describes a rate?
    14·1 answer
  • Suppose you scored 95 on a measure where the mean was 110 and the standard deviation was 15. Assuming a normal distribution, wha
    7·1 answer
  • The first step in combining the functions is to use a variable to represent one of the functions to make it easier to use. Rewri
    8·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!