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
zloy xaker [14]
3 years ago
9

You are skiing down a mountain with a vertical height of 800 feet. The distance from the top of the mountain to the base is 1600

feet. What is the angle of elevation from the base to the top of the mountain?
Mathematics
1 answer:
adoni [48]3 years ago
7 0

Answer:

θ  = 30^{0}

Step-by-step explanation:

Since the vertical height of the mountain is 800 feet, and the distance from the top to its base is 1600 feet. Let the angle of elevation be represented by θ, applying the required trigonometric function;

Sin θ = \frac{opposite}{hypotenuse}

Sin θ = \frac{800}{1600}

        = 0.5

θ = Sin^{-1} 0.5

θ  = 30^{0}

Thus, the angle of elevation from the base to the top of the mountain is 30^{0}.

You might be interested in
Which expression is equal to |-12|-|-3|? <br><br> -15<br> -9<br> 9<br> 15
Vera_Pavlovna [14]

Answer:

9

Step-by-step explanation:

The question asks: Which expression is equal to |-12| - |-3|?

and the absolute value of -12 is 12 and -3 is 3 and 12-3=9

i hope this helps!

3 0
3 years ago
HELP!!!!!!!!!!!!!!!!!!!! I WELL GIVE BRAINLIST AND 100 point if answered in less the 20 mins
Firdavs [7]

Answer:

10

Step-by-step explanation:

8 0
2 years ago
Read 2 more answers
There are 8 juice boxes in the refrigerator. Each box holds cup of juice. How many cups of juice are in the refrigerator? A stud
Zanzabum
Don't hold me to it, but I think the answer is D.) 4 cups
6 0
3 years ago
Read 2 more answers
Evaluate the integral of the quantity x divided by the quantity x to the fourth plus sixteen, dx . (2 points) one eighth times t
Anika [276]

Answer:

\int\limits {\frac{x}{x^4 + 16}} \, dx = \frac{1}{8}*arctan(\frac{x^2}{4}) + c

Step-by-step explanation:

Given

\int\limits {\frac{x}{x^4 + 16}} \, dx

Required

Solve

Let

u = \frac{x^2}{4}

Differentiate

du = 2 * \frac{x^{2-1}}{4}\ dx

du = 2 * \frac{x}{4}\ dx

du = \frac{x}{2}\ dx

Make dx the subject

dx = \frac{2}{x}\ du

The given integral becomes:

\int\limits {\frac{x}{x^4 + 16}} \, dx = \int\limits {\frac{x}{x^4 + 16}} \, * \frac{2}{x}\ du

\int\limits {\frac{x}{x^4 + 16}} \, dx = \int\limits {\frac{1}{x^4 + 16}} \, * \frac{2}{1}\ du

\int\limits {\frac{x}{x^4 + 16}} \, dx = \int\limits {\frac{2}{x^4 + 16}} \,\ du

Recall that: u = \frac{x^2}{4}

Make x^2 the subject

x^2= 4u

Square both sides

x^4= (4u)^2

x^4= 16u^2

Substitute 16u^2 for x^4 in \int\limits {\frac{x}{x^4 + 16}} \, dx = \int\limits {\frac{2}{x^4 + 16}} \,\ du

\int\limits {\frac{x}{x^4 + 16}} \, dx = \int\limits {\frac{2}{16u^2 + 16}} \,\ du

Simplify

\int\limits {\frac{x}{x^4 + 16}} \, dx = \int\limits {\frac{2}{16}* \frac{1}{8u^2 + 8}} \,\ du

\int\limits {\frac{x}{x^4 + 16}} \, dx = \frac{2}{16}\int\limits {\frac{1}{u^2 + 1}} \,\ du

\int\limits {\frac{x}{x^4 + 16}} \, dx = \frac{1}{8}\int\limits {\frac{1}{u^2 + 1}} \,\ du

In standard integration

\int\limits {\frac{1}{u^2 + 1}} \,\ du = arctan(u)

So, the expression becomes:

\int\limits {\frac{x}{x^4 + 16}} \, dx = \frac{1}{8}\int\limits {\frac{1}{u^2 + 1}} \,\ du

\int\limits {\frac{x}{x^4 + 16}} \, dx = \frac{1}{8}*arctan(u)

Recall that: u = \frac{x^2}{4}

\int\limits {\frac{x}{x^4 + 16}} \, dx = \frac{1}{8}*arctan(\frac{x^2}{4}) + c

4 0
3 years ago
A pound of chocolate cost $6. Nicole buys p pounds. Write an equation to represent the total cost of c that Nicole pays.?
leonid [27]

Answer:

C=6p

Step-by-step explanation:

The cost (c) will be by itself since that is the answer you are looking for. 6p is grouped together because for every pound you pay $6. For example if you had 2 pounds of chocolate. You would multiple $6 by 2 and your cost would equal $12

7 0
3 years ago
Read 2 more answers
Other questions:
  • What is the circumference of the circle? (d=23 in)
    13·1 answer
  • Marisa painted 1/2 of her bedroom in 3/4 of an hour. At this rate, how long would it take her to paint the entire room?
    6·1 answer
  • How to find angle of elevation
    5·1 answer
  • Explain why sin(90)=1
    14·1 answer
  • The scatter plot below shows the commute times of 25 different people and the number of stoplights they drive through on their w
    13·1 answer
  • Solve the following system of equations using any method you want.<br> 10y+24=-3x<br> 3x-9=y
    12·1 answer
  • 0.0000672 in standard form?​
    9·1 answer
  • Use the shell method to write and evaluate the definite integral that represents the volume of the solid generated by revolving
    9·1 answer
  • Lacey is going to paint her house over the summer. She has 3 1/2 cans of paint leftover from the last time she painted. She know
    14·1 answer
  • Sally's income per month is $1500. She wants to create a budget to be able to afford everything. How much can she spend on "fun"
    11·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!