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
Dovator [93]
2 years ago
7

A climber is standing at the top of Mount Kilimanjaro, approximately 3.7 mi above sea level. The radius of the Earth is 3959 mi.

What is the climber's distance to the horizon? Enter your answer as a decimal in the box. Round only your final answer to the nearest tenth.
Mathematics
2 answers:
RoseWind [281]2 years ago
6 0
We are given
height = 3.7 mi
radius = 3959 mi

We are asked for the distance between the man and the horizon
The straight line from the man to the horizon is a tangent line to the surface of the earth
Using Pythagorean theorem
(3.7 + 3959)² = 3959² + d²

Solve for d
d = 171 mi
katen-ka-za [31]2 years ago
5 0

Answer:

Therefore, The climber's distance to the horizon = 171.20 miles

Step-by-step explanation:

A climber is standing at the top of Mount Kilimanjaro, approximately 3.7 miles above sea level

⇒ Height of the climber from the sea level = 3.7 miles

The radius of the Earth is 3959 miles

⇒ Radius = 3959 miles.

Now, The line of sight L of the earth can be found by using the formula :

L^2 + Radius^2=(Radius + Height)^2\\\\\implies L^2+3959^2=(3959+3.7)^2\\\\ \implies L^2 + 3959^2=3962.7^2\\\\\implies L^2=3962.7^2-3959^2\\\\\implies L^2 = 29310.29\\\\\implies L\approx 171.20\:\:miles

Therefore, The climber's distance to the horizon = 171.20 miles

You might be interested in
15-12 ÷3=n what is the value of n?
Galina-37 [17]
11 is the answer to that question
5 0
3 years ago
Read 2 more answers
Graph a line with a slope of 1/4 that contains the point (6, 3).
Semenov [28]

Answer:

The graph in the attached figure

Step-by-step explanation:

we know that

The equation of a line in point slope form is

y-y1=m(x-x1)

we have

(x_1,y_1)=(6,3)

m=\frac{1}{4}

substitute

y-3=\frac{1}{4}(x-6)

The easiest way to graph a line is to calculate the intercepts

The<u><em> x-intercept </em></u>is the value of x when the value of y is equal to zero

For y=0

0-3=\frac{1}{4}(x-6)

-12=(x-6)

x=-12+6=-6

The x-intercept is the point (-6,0)

The <u><em>y-intercept</em></u> is the value of y when the value of x is equal to zero

For x=0

y-3=\frac{1}{4}(0-6)

y-3=-\frac{3}{2}

y=-\frac{3}{2}+3

y=1.5

The y-intercept is the point (0,1.5)

Plot the intercepts and join the points to graph the line

(-6,0) and (0,1.5)

The graph in the attached figure

8 0
2 years ago
Most analysts focus on the cost of tuition as the way to measure the cost of a college education. But incidentals, such as textb
Charra [1.4K]

Answer:

The population of interest to the researcher were the 250 first-year students that were monitored.

Step-by-step explanation:

In descriptive statistics, the portion of the cost of college education to be determined and has been selected for analysis is calle d "sample", the sample the researcher is interested in, considers the textbooks cost of first-year students, therefore the 250 first-year students is the researcher´s population of interest. This method involved the collection, presentation, and characterization.

8 0
2 years ago
Put these numbers in order from least to greatest. 0.57 5.07 50.7 57 75 ​
nordsb [41]

Answer:

It's basically already in order: 0.57, 5.07, 50.7, 57, 75

Step-by-step explanation:

Hope it helps!      :3

Plz mark as brainliest!

5 0
3 years ago
Read 2 more answers
Helppppppppppppppp mmmmmmmeeeeeeeeeeeeeeeeeeeeeeeee
Alisiya [41]

Answer:

The area of the parallelagram is 50

5 0
3 years ago
Other questions:
  • Find the surface area of the cube shown below 2 1/2
    5·1 answer
  • What is fo)?<br> O O only<br> 0 -6 only<br> 0-2, 1, 1, and 3 only<br> 0 -6, -2, 1, 1, and 3 only
    12·1 answer
  • Perimeter of trapezoid 13.1 inches by 5.8 inches by 5.4 inches by 16
    10·1 answer
  • How to do it i don’t understand it
    5·1 answer
  • Write the number described by 1 ten 16 ones.
    15·2 answers
  • Helppp!! For the given solid figure, find the value of the variable.
    5·1 answer
  • 8x + 5 =<br> ik im slow but i need help lolol
    8·2 answers
  • Sandra bought 5 bags of candy. She shared it equally among 7 students. How much candy will each student receive?
    14·1 answer
  • If you know the area of a circle, how can you find its radius? Use the drop-down menus to explain your answer. (Choose: A. Divid
    7·1 answer
  • The area of a rectangle is 48 cm². If its width is 6 cm, what is its length?
    12·2 answers
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!