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
Mrac [35]
2 years ago
11

If the mountain is 1,200 feet tall, find the length of the ski lift

Mathematics
1 answer:
Nina [5.8K]2 years ago
7 0
The length of the sky lift is 3.387.05 ft
Step-by-step explanation;
By an online search, i found that the sky lift
rises at an angle of 20.75 degrees.
Then we can think on a triangle rectangle, such
that:
One cathetus is 1200ft, this is the opposite
cathetus to the angle of 20.75°
The length of the ski lift would be the
hypotenuse of this triangle rectangle.
Then we can use the relationship:
Sin(a) = opposite cathetus/hypoteuse.
such that:
a = 20.75°
opposite cathetus=1200ft
then:
sin(20.75°) = 1200ft/hypotenuse
hypotenuse =1200ft/sin(20.759) =3.387.05 ft
The length of the sky lift is 3.387.05 ft
You might be interested in
The symphonic choir and the jazz choir are recording songs for an album. The album can be no more than 72 minutes long. The jazz
zimovet [89]

Answer:

The symphonic choir can record a maximum of 14 songs.

Step-by-step explanation:

We know that the album cannot be more than 72 minutes long, and the jazz choir records a total of 7 (3min) = 21  song minutes.

If we call c the number of songs the symphonic choir records , and each song is 3.5 minute long, then the song minutes for the symphonic choir are 3.5c; therefore, we have the inequality

3.5c+21\leq 72<em> (this says the song minutes for jazz choir plus song minutes for symphonic choice cannot exceed 72 minutes )</em>

We solve this inequality by subtracting 21 from both sides and then dividing by 3.5:

3.5c\leq 51

$c\leq \frac{51}{3.5} $

c\leq 14.47

The maximum integer value c can take is 14; therefore, the maximum number of songs the symphonic choir can record is 14 songs.

3 0
3 years ago
Pam draws three scalene triangles. In each figure, she measures each angle, as shown.
Ganezh [65]

Answer:

the answer is c.

Step-by-step explanation:

there's no explanation

7 0
3 years ago
Simplify 3^8 x 3^4 / 3^2 x 3^8 leaving your answer in index form
Furkat [3]

Answer:

3² or 9

Step-by-step explanation:

Step 1: Add exponents

\frac{3^{12}}{3^{10}}

Step 2: Subtract exponents

You should get 3² because of exponent rules. Remember when you multiply exponents you add the powers and when you divide exponents you subtract the powers.

3 0
2 years ago
Read 2 more answers
If Bob paid $41.44 for 14 gallons what is the price of gas per gallon
Dmitry [639]
$2.96 you divide 41.44 by 14
8 0
3 years ago
House prices in the neighborhood average at $90.05 per square foot. If the house has 1055 square feet, what should be its price?
telo118 [61]

Answer:

C. $95,000

Step-by-step explanation:

90.05 times 1055 is $95,000.75 the closest number to that is $95,000.

7 0
2 years ago
Other questions:
  • 5x+9-2x-7y<br> What is the coefficient of the y term?
    10·1 answer
  • Express 3^2 = x as a logarithmic equation.
    6·1 answer
  • If a window has a radius of 12 inches what is the circumference of the window
    14·2 answers
  • A rocket is launched upward so that its distance, in feet, above the ground after t seconds is represented by the function below
    11·1 answer
  • Which set of ordered pairs represents a linear relationship?
    8·1 answer
  • if the results of the survey were claimed to indicate that 7.7% of adults in the country who own digital cameras plan to replace
    10·1 answer
  • How do you put 3/4% ,3/25%, and 11/20% as a decimal
    5·1 answer
  • Simplify the expression to a + bi form
    10·1 answer
  • 9th grade math help pretty please
    13·1 answer
  • Solve for x 8/x = 12/30
    7·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!