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
DanielleElmas [232]
3 years ago
10

The angle of elevation to the top of a skyscraper is measured to be 2 degrees from a point on the ground 1 mile from the buildin

g. How tall is the skyscraper?
Mathematics
1 answer:
Alex3 years ago
4 0

Answer:

0.034921 miles or 1843774 feet tall

Step-by-step explanation:

Using trigonometric functions we know that x=rcos(\theta) and y=rsin(\theta) where \theta=angle and r is the hypotenuse of the triangle.

First we will calculate the hypotenuse using the x equation, since we know x = 1 mile (distance from the building on the ground) we have:

x=rcos(\theta)\\\\1=rcos(2)\\\\r=\frac{1}{cos(2)} \approx. 1.0061mi

Now we will calculate the height of the building using the y equation and so:

y=rsin(\theta)\\\\y=\frac{1}{cos(2)} \times sin(2) = \frac{sin(2)}{cos(2)}=tan(2)=0.034921mi

The building is 0.034921 miles or approximately 184.3774 feet tall.

You might be interested in
Solve for k in g=k-a.​
Varvara68 [4.7K]

Answer:

k = g + a

Step-by-step explanation:

g = k - a ( add a to both sides )

g + a = k , that is

k = g + a

5 0
2 years ago
A card is chosen at random from a standard deck of 52 playing cards.What is the probability that the chosen card is a jack or a
Rudik [331]
8/52 or 2/13
Because there is 1 queen and 1 jack in each of the 4 suites. so 2x4=8. Out of 52 cards, then simplify.
3 0
3 years ago
What is the slope of the line 3y = 4x + 5
nataly862011 [7]
The slope is 1 whole and a 1/3. (1.3 recurring)
6 0
3 years ago
What is the result of −14·−1249?
Whitepunk [10]

Since we know that a negative times a negative equals a positive, we know that our answer is positive. Then follow the steps below.

8 0
3 years ago
Kevin has a net monthly income of $5,400.
luda_lava [24]
His budget should be $2,000.
8 0
3 years ago
Other questions:
  • School A and B are competing in an academic contest. at the beginning of the final round, school A has 174 points and school B h
    7·1 answer
  • Ice is placed around a bowl of water to lower the temperature. The equation D=−75t+22D=-75t+22 shows the time, t, measured in mi
    11·1 answer
  • What is the answer please help
    6·1 answer
  • Three quarters of the boats in the marina are white, 4/7 of the remaining boats are blue, adn the rest are red. If there are 9 r
    10·1 answer
  • Hey please sorry its three questions thank you.
    5·1 answer
  • one t shirt is sold to every 5 people who attends a concert what is the ratio of people to t shirts sold to
    6·1 answer
  • The expression x−y equals 0.7 if x and y have certain values. Evaluate the following expressions with the same values of x and y
    9·1 answer
  • Find the perimeter. Use 3.14 for pi.
    10·1 answer
  • Perry's school is selling tickets to a choral performance. On the first day of ticket sales the school sold 12 adult tickets and
    14·2 answers
  • The equation shown has a missing value. Answer parts a through c. - 2(2x- ) + 1 = 17 - 4x a. For what missing value is the equat
    8·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!