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?

Answers

Answer 1

Answer:

θ  = [tex]30^{0}[/tex]

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 = [tex]\frac{opposite}{hypotenuse}[/tex]

Sin θ = [tex]\frac{800}{1600}[/tex]

        = 0.5

θ = [tex]Sin^{-1}[/tex] 0.5

θ  = [tex]30^{0}[/tex]

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


Related Questions

Shandra is on vacation and wants to buy souvenirs for at least eight friends. A postcard book costs $2.50 and a magnet costs $4.00. She can spend up to $30 all together. Which system of inequalities represents the situation?

Answers

Answer:

[tex]2.5p + 4m \leq 30[/tex]

Step-by-step explanation:

Given

Poster = $2.50

Magnet = $4.00

Amount = Up to $30

Required

Determine the inequality

Represent posters with p;

This implies that she can buy 2.50p worth of posters

Represent magnets with m

This implies that she can buy upto 4m worth of magnets

The question says she can spent up to $30;

This implies that she can spend at most $30 and this can be mathematically represented as [tex]\leq 30[/tex]

Bringing the parameters together; we have

[tex]2.5p + 4m \leq 30[/tex]

The system of inequalities that represents the situation is [tex]2.5x+4y\leq 30[/tex] and this can be determined by using the given data and arithmetic operations.

Given :

A postcard book costs $2.50 and a magnet costs $4.00.Shandra can spend up to $30 all together.

Let the total number of postcards be 'x' and the total number of magnets be 'y'. The following steps can be used to determine the inequalities that represent the situation:

Step 1 - Multiply 2.5 with x.

2.5x

Step 2 - Multiply 4 with y.

4y

Step 3 - Now, add the above two expressions.

2.5x + 4y

Step 4 - Now, apply the inequality.

[tex]2.5x+4y\leq 30[/tex]

The system of inequalities that represents the situation is [tex]2.5x+4y\leq 30[/tex].

For more information, refer to the link given below:

https://brainly.com/question/13101306

HELP ME PLZ ! Solve for x

Answers

Answer:

x = -1/3 - 3/2y

Step-by-step explanation:

Step 1: Write out equation

3y + 2x = -1

Step 2: Subtract 3y on both sides

3y - 3y + 2x = -1 - 3y

2x = -1 - 3y

Step 3: Divide both sides by 2

2x/2 (-1 - 3y)/2

x = -1/3 - 3/2y

Answer:

Hey there!

3y+2x=-1

2x=-3y-1

x=-3/2y-1/2

Let me know if this helps :)

For your goal what is 1.834597/26881

Answers

Answer:

0.00006824883

Step-by-step explanation:

right?

6y-10y-11=8y-2y+29 step by step?

Answers

Step-by-step explanation:

6y - 10y - 11 = 8y - 2y + 29

6y - 10y +16y - 11 = 8y - 2y + 29 + 16y

-11 = 22y + 29

11 = 22y + 40

-29 = 22y

Not sure yet I think I made a mistake hold up

Solve quadratic equation by completing the square 9x²=4 please help me answer this

Answers

Answer:

[tex]9 {x}^{2} - 4 = 0 [/tex]

[tex](3x - 2)(3x + 2) = 0[/tex]

[tex]3x - 2 = 0[/tex]

[tex]3x = 2[/tex]

[tex]x = \frac{2}{3} [/tex]

AND

[tex]3x + 2 = 0[/tex]

[tex]3x = - 2[/tex]

[tex] \times = - \frac{2}{3} [/tex]

9x²-4=0

or,(3x)² +2*3x*3 +(3)² -5 = 18x -5

or,(3x+3)² = 18x

either,3x+3= 18x or, 3x+3=-18x

or, 15x=3 or, 21x=-3

or, x=1/5 or, x=-1/7

Consider the function. f(x) = -2/3x - 24 Which conclusions can be drawn about f^-1(x)? Select two options.
f^-1(x) has a slope of -2/3
f^-1(x) has a slope of . f^–1(x) has a restricted domain.
f^-1(x) has a y-intercept of (0, –36).
f^-1(x) has an x-intercept of (–36, 0).
f^-1(x) has a range of all real numbers.

Answers

It’s D&E because that’s what it is what it is

-2.75 is classified as?Select all that apply Natural Number Whole Number Integer Rational Number

Answers

Answer:

Rational Number

Step-by-step explanation:

It is not a natural number as natural numbers are the counting numbers we use and therefore only encompass positive integers,which - 2.75 is not. Whole numbers and integers do not include decimals and fractions, therefore - 2.75 is not included either does to its decimal. Finally it is a rational number because it can be properly expressed as a fraction (-2.75/1). Therefore it is just a rational number from this list.

Hope this helped!

1. (2 - 3i) + (6+5i)

Answers

Answer:

(8+2i)

Step-by-step explanation:

The angle of elevation of a flagpole from the foot of a building is 65⁰, what is the angle of depression of the building from the Flagpole?

Answers

Answer:

115°

Step-by-step explanation:

The angles of elevation and depression are supplementary, thus

angle of depression = 180° - 65° = 115°

Simplify 12 to the 3rd over 12 to the 7th

Answers

Answer:

0.0000482253

Step-by-step explanation:

factor 25m64−81n16 (w/ screenshot)

Answers

Answer:

(5m^32 -9n^8) (5m^32 +9n^8)

Step-by-step explanation:

[tex]25m^{64}-81n^{16}\\\\\mathrm{Rewrite\:}25m^{64}-81n^{16}\mathrm{\:as\:}\left(5m^{32}\right)^2-\left(9n^8\right)^2\\\\=\left(5m^{32}\right)^2-\left(9n^8\right)^2\\\\\mathrm{Apply\:Difference\:of\:Two\:Squares\:Formula:\:}\\x^2-y^2=\left(x+y\right)\left(x-y\right)\\\\\left(5m^{32}\right)^2-\left(9n^8\right)^2=\\\left(5m^{32}+9n^8\right)\left(5m^{32}-9n^8\right)[/tex]

Solve for x.
81 = 27^-x^-2

Answers

Answer:

NO SOLUTION

Step-by-step explanation:

[tex]81=27^{-x^{-2}}[/tex]

[tex]3^4=3^{3\left(-x^{-2}\right)}[/tex]

[tex]4=3\left(-x^{-2}\right)[/tex]

[tex]\:4=-\frac{3}{x^2}:\quad \mathrm{No\:Solution\:for}\:x\in \mathbb{R}[/tex]

The Difference of a number and nine

Answers

Answer:

3+3+3=9 Slove this

Step-by-step explanation:

Mark as Brainliest

For the points (5,4)and (7,8), find the distance between the points and find the
midpoint of the segment.

Answers

Answer:

distance = 2[tex]\sqrt{5}[/tex] or 4.47 in decimal form

midpoint(6,6)

Step-by-step explanation:

If Jesse wants to buy a $75,000 10-year term life insurance policy, and the annual premium rate (per $1000 of face value) for his age group is $2.34, how much is Jesse’s annual premium?

Answers

Step-by-step explanation:

Since it is given that it costs $2.34 for every $1000 face value, and it was given that he wanted to buy a $75000 plan, multiplying $2.34 by 75 (75000 includes 75 $1000 face value), it should yield us the annual premium.  

2.34 * 75 = $175.50

We don't need to multiply it by 10 years as only the annual premium is being solved for.

Answer:

C $212.57

Step-by-step explanation:

I Just took the test on e2020

-2(v- 2) =-3 -22
What’s the answer?

Answers

Answer:

v= 29/2

Step-by-step explanation:

Step 1: Simplify both sides of the equation.

−2(v−2)=−3−22

(−2)(v)+(−2)(−2)=−3+−22(Distribute)

−2v+4=−3+−22

−2v+4=(−3+−22)(Combine Like Terms)

−2v+4=−25

−2v+4=−25

Step 2: Subtract 4 from both sides.

−2v+4−4=−25−4

−2v=−29

Step 3: Divide both sides by -2.

−2v

−2

=

−29

−2

v=

29/2

What is the value of 3x2+y3 when x=2 and y=−2?

Answers

Answer:

6

Step-by-step explanation:

First step is to plug in x=2 and y=-2

3(2)2+(-2)3

Remember PEMDAS

Parentheses first: multiply the 3(2)

6(2)+-6

Multipication second: 6(2)

12+-6

Lastly addition: 12+-6 (pay attention to the negative-that means we actually subtract)

Gives us 6

Hope this helps :)

what are the aspects of a good setter in volleyball

Answers

Answer: be a good communicator with strong leadership skills who quickly builds trust with the ability to talk and communicate with her hitters.

encourages hitters when they are playing well and when they aren't playing well.

(I used to play volleyball myself)

the slope-intercept form of an equation is y = mx + b. rewrite the equation in terms of the slope m

Answers

Answer:

[tex]\displaystyle m=\frac{y-b}{x}[/tex]

Step-by-step explanation:

We are given the equation:

[tex]y=mx+b[/tex]

And we want to rewrite it in terms of m.

We can subtract b from both sides:

[tex]y-b=mx[/tex]

Finally, dividing both sides by x yields:

[tex]\displaystyle m=\frac{y-b}{x}[/tex]

In conclusion:

[tex]\displaystyle m=\frac{y-b}{x}[/tex]

Marty drew a model of the school library. The total area of the floor is 132 square centimeters. What is the area of the shaded part of the model shown below?

Answers

Answer:

Step-by-step explanation:

116

The area of the shaded part of the model shown below will be 72 square cm.

What is an area of a rectangle?

Area of a rectangle is the product of its length and width.

If a rectangle has a length of L units and a width of W units, then

Area = L × W squared units.

Marty drew a model of the school library.

The total area of the floor is 132 square centimeters.

Then the area of the shaded part of the model shown below will be

Area = 132 - 10 x 6

Area = 132 - 60

Area = 72 square cm

Then the correct option is C.

Learn more about the area of a rectangle here:

https://brainly.com/question/4887838

#SPJ5

imagine an investigation in which 40 students were asked to determine their chronotype by choosing from among four chronotypes instead of three: morning person, night person, neither, or both. If there is no relationship between chronotype and birth month, about what fraction of the students would you expect to pick the chronotype that matches their birth month? why do you think this?

Answers

Step-by-step explanation:

A chronotype is a behavioral manifestation of an underlying circadian rhythms of the myriad physical processes.

The chronotype word may be defined as an individual's natural tendency to remain active mostly at certain times of the day. Some people remain active and alert in the early time of the day and some are alert and active in the late night.

The chronotypes are : Morning person, night person, neither/both.

It is assume that the birth month and year of a person influences his or her chronotype. But if birth month is not related to theses personality traits of a person, then it can be expected that nearly 1/3rd of the fraction of the students in class picks the chronotype which corresponds to their birth type.

A point where 2 rays meet to form an angle

Answers

It would be a vertex

A freight train, traveling at a speed of 18.0 m/s, begins braking as it approaches a train yard. The train's acceleration while braking is –0.33 m/s2 . What is the train's speed after 23s?

Answers

Answer:

v = 10.41 m/s

Step-by-step explanation:

using one of the equations of motion:

v = u + at

where v= final velocity

u= initial velocity

a = acceleration

t = time

u = 18.0 m/s

v = ?

a = –0.33 m/s2

t = 23s

v = 18.0 + (–0.33 x  23)

v = 18.0 + (-7.59)

v = 10.41 m/s

You are building a shelf that fits in a corner in the figure the entire shelf is XYZ each unit in the coordinate plane represents one inch find the area a of the shelf X is (15,20) Z is (0,5) Y is (15,5)

Answers

Answer:

[tex]Area = 112.5[/tex]

Step-by-step explanation:

Given

[tex]X = (15,20)[/tex]

[tex]Y = (15,5)[/tex]

[tex]Z = (0,5)[/tex]

Required

Determine the area of the triangle

The area is calculated using the following formula:

[tex]Area = |\frac{X_x(Y_y - Z_y) + Y_x(X_y - Z_y) + Z_x(X_y - Y_y)}{2}|[/tex]

Where

[tex](X_x,X_y) = (15,20)[/tex]

[tex](Y_x,Y_y) = (15,5)[/tex]

[tex](Z_x,Z_y)= (0,5)[/tex]

Substitute right values in the given formula:

[tex]Area = |\frac{15(5 -5) + 15(20 - 5) + 0(20 - 5)}{2}|[/tex]

[tex]Area = |\frac{15(0) + 15(15) + 0(15)}{2}|[/tex]

[tex]Area = |\frac{0 + 225 + 0}{2}|[/tex]

[tex]Area = |\frac{225}{2}|[/tex]

[tex]Area = |112.5|[/tex]

[tex]Area = 112.5[/tex]

Hence, the area of the triangle is 112.5

2. Points A, B, C, D, E, and F are integers. Use the clues to put the points in order
from least to greatest. You don't need to solve the numbers themselves!
• A is less than E.
. E is less than D.
• B is greater than C.
• C is less than A.
• F is the smallest.
• A is greater than B.
Points in order:

Answers

Answer: F C B A E D

Do the points shown represent additive inverses? Explain why or why not.

Answers

Answer:

Yes additive inverse is two complete opposite numbers if added = 0

Step-by-step explanation:

Answer:

The points on the number line do represent additive inverses. 3 and −3 are a zero pair, and when added they equal zero. The two numbers are the same distance from zero but in opposite directions.

Step-by-step explanation:

e d g e n u i t y . . . hope this helped :p

I NED HELP FAST! Due tomorrow!! Ways to represent relations!

Answers

1.1: Four Ways to Represent a Function.•Determine whether a relation represents a function.

•Find the value of a function.

•Determine whether a function is one-to-one.

•Use the vertical line test to identify functions.

•Graph the functions listed in the library of functions

Step-by-step explanation:

Please Help quickly! I need an explanation please. 50 points and will mark brainliest !

Answers

Yes, you are correct!

8x⁴-6x³+2/2x²+3

= 4x² + -6x³-12x²+2/2x²+3

= 4x² - 3x + -12x²+9x+2/2x²+2

= 4x² - 3x - 6 + 9x+20/2x²+3

Best of Luck!

5.75 , 7.75 , 9.75 , 11.75 is a Non linear sequence ? is it true or false

Answers

Answer:

false because each go up by two and I didnt even look it up

John bought a 4-year certificate of deposit for $9.800 that has an interest rate of 3.255 % compounding monthly
How much interest will he earn after the 4 years?

Answers

Answer:

hi

Step-by-step explanation:

want to start a conversation

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