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]
3 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]3 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]3 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
HURRY WILL MARK BRAINLIEST IMAGE ATTACHED. ​
Mashcka [7]

Answer:

b

Step-by-step explanation:

8 0
3 years ago
Your friend has 5100 when he goes to the fair. He spends $10 to enter the fair and $20 on food. Rides at the fair cost $2 per ri
Tresset [83]

Answer:     f(x) = −2x + 70

6 0
3 years ago
Rectangle PQRS is dilated by a scale factor of 2 (k=2) with the origin as the center. What are the coordinates of R('?
Radda [10]

Answer:

Correct Answer: (8,2)

Step-by-step explanation:

<u>Dilation about the origin</u>

Most dilations in the coordinate plane use the origin, (0,0), as the center of the dilation.

In such cases, every point (x,y) dilated by a factor of k is mapped to the point (kx,ky).

The point R=(4,1) is dilated by a scale factor of 2 (k=2), thus the coordinates of its image are (2*4,2*1) = (8,2)

4 0
3 years ago
The function y = f(x) is graphed below. What is the average rate of change of the
Serjik [45]

The average rate of change of the function in the given interval -3 ≤ x ≤-1 is 10.

<h3>What is the average rate of change?</h3>

The average Rate of Change of the function f(x) can be calculated as;

f(x) = \dfrac{f(b) - f(a)}{b-a}

Interval -3 ≤ x ≤-1

a = -3, b = -1

f(a) = f(-3) = -20

f(b) = f(-1) = 0

Step 2: Find Average

f(x) = \dfrac{f(b) - f(a)}{b-a}\\\\\\f(x) = \dfrac{f(-1) - f(-3)}{-1-(-3)}\\\\\\f(x) = \dfrac{0 - (-20)}{2}\\\\f(x) = 10

Therefore, the average rate of change of the function in the given interval -3 ≤ x ≤-1 is 10.

Learn more about average rate;

brainly.com/question/20784578

#SPJ1                  

3 0
1 year ago
Reduce to simplest form.<br> -7/12 + 3/8<br> (They are fractions)
denpristay [2]

Answer:

-5/24

Step-by-step explanation:

You first change -7/12 to -14/24, and 3/8 to 9/24 so they have the same denominator. You then do -14/24 + 9/24. That will be the same as the opposite of the answer to 14/24 - 9/24.

14/24 - 9/24 = 5/24

-5/24

4 0
3 years ago
Other questions:
  • Very important, please help!
    11·1 answer
  • Help me with this and show work!!
    14·1 answer
  • What angle pair is matched with ∠MLA to make alternate interior angles ?
    5·1 answer
  • John's new car is worth $ 25,000 and is depreciating 8% per year . What will his can be . In how will many years worth in 5 year
    8·1 answer
  • Can someone put this into matrices for me:)<br> 2x+3y+5=20
    5·2 answers
  • True or false? A theorem is a statement that can be easily proved using a
    6·1 answer
  • The volume of a rectangular prism is 240 cubic feet. The length is 8 feet and the height is 5 feet. What is the width?
    5·1 answer
  • Find the volume of a pyramid with a square base, where the perimeter of the base is 7.4 ft and the height of the pyramid is 8.1
    9·1 answer
  • What's the linear equation?
    12·2 answers
  • Which net represents this rectangular prism?
    12·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!