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
Anna35 [415]
3 years ago
5

An engineer on the ground is looking at the top of a building. The angle of elevation to the top of the building is 22°. The eng

ineer knows the building is 450 ft tall. What is the distance from the engineer to the base of the building to the nearest whole foot?
1,114 ft

1,201 ft

1,818 ft

990 ft

Mathematics
2 answers:
Kobotan [32]3 years ago
3 0
Let the distance of the engineer from the base of the building be x, then 
tan 22 = 450/x
x = 450/tan 22 = 450/0.4040 = 1,113.79

Therefore, the distance of the engineer from the base of the building to the nearest foot is 1,114 feet.
Ksju [112]3 years ago
3 0

Answer:

Distance, x = 1114 ft

Step-by-step explanation:

It is given that,

The angle of elevation to the top of the building, \theta=22^0

Height of the building, h = 450 ft

We have to find the distance from the engineer to the base of the building i.e. x

In triangle ABC, using trigonometric equations as :

tan(22)=\dfrac{AB}{BC}

tan(22)=\dfrac{450}{x}

x=\dfrac{450}{tan(22)}

x=1113.7\ ft

or

x = 1114 ft

So, the distance from the engineer to the base of the building is option (A) i.e. 1114 ft

You might be interested in
Solve the system of equations <br><br> 2r - 6y= 28<br> -x-y = 14<br><br><br> PLEASE HELP
o-na [289]

Answer:

\displaystyle [-7, -7]

Step-by-step explanation:

{2x - 6y = 28

{−x - y = 14

−⅙[2x - 6y = 28]

{−⅓x + y = −4⅔

{−x - y = 14

____________

\displaystyle \frac{-1\frac{1}{3}x}{-1\frac{1}{3}} = \frac{9\frac{1}{3}}{-1\frac{1}{3}} \\ \\

x = -7[Plug this back into both equations above to get the y-coordinate of −7]; \displaystyle -7 = y

I am joyous to assist you anytime.

3 0
3 years ago
The average honey bee can travel 10.5 feet per second. How many feet can the honeybee travel in 3.7 seconds?
ad-work [718]

Answer:

The honey bee would go 38.85 feet if it was traveling at 10.5 feet per second for 3.7 seconds

Step-by-step explanation:

Take the speed the bee is flying (10.5) and times it by the time (3.7) and you get 38.85 which is the answer. 38.85 feet

6 0
3 years ago
HELP!!! I CANT SEEM TO GET IT RIGHT!
miss Akunina [59]

Answer:

The speed is 16 kilometers per hour.

The cyclist will travel 80 kilometers in 5 hours.

4 0
3 years ago
If the basketball player scored 15 baskets out of 21 tries. How many tries would it take to score 20 baskets?
Evgen [1.6K]
28 tries. The ratio is 5:7, so once you multiply 5 by 4 to get 20, you do the same to 7 to get 28.
6 0
3 years ago
If 10% of x is 20, what is 23% of x?
swat32
<span>If 10% of x is 20, 
----------
</span><span>then x = 200.</span><span>what is 23% of x?
----------
23% = (23/100)*200 = 46</span>
5 0
3 years ago
Other questions:
  • Read the problem. The Sweet Dreams Hotel has a total of 125 rooms. If 25 are vacant, what percent of the rooms at the Sweet Drea
    14·1 answer
  • A cyclist rides his bike at the speed of 33 feet per second what is this in miles per hour? How many miles will the cyclist trav
    6·1 answer
  • Factorize <br>m²-2mn+n²-9r​
    5·1 answer
  • A bag contains purple marbles and green marbles 105 in total. the number of purple marbles and 9 less than 5 times the number of
    6·1 answer
  • Using squares cube roots and reciprocals tables, solve: 2/∛21.36
    10·1 answer
  • Mrs. Sawyer estimates that a quiz will take students no fewer than 11 minutes but no more than 41 minutes to complete. She allot
    8·2 answers
  • 2. Given the graph below, answer the following questions.
    11·2 answers
  • Mike bought 4.5 pounds of bananas for $5.40. What is the price per pound for the bananas?
    11·1 answer
  • Help meee pleaseee ~ :)) &lt;3
    9·2 answers
  • Whats the solution to this formula?Tan^-1 ( 7 / 420) =
    5·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!