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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

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svetoff [14.1K]
5 3/5, 27/5, 33/6 , hope I helped lmk if I got it right
8 0
2 years ago
The two lines graphed below are not parallel. How many solutions are
gizmo_the_mogwai [7]

Answer:

Step-by-step explanation:

Any non-parallel lines in the plane must intersect in one place; thus, there is one solution to the system of equations.

3 0
3 years ago
Becky is competing in a 8-mi road race. She runs at a constant speed of 6 mi/h write an equation in slope intercept form to repr
enot [183]

Answer:

y=-6x+8

Step-by-step explanation:

8 is the miles she has she runs 6 miles so she has 2 miles left that's why when we put it in slope intercept forms it's going to be

y=-6x+8

6 0
3 years ago
Can someone please help me​
4vir4ik [10]

Answer:

40

Step-by-step explanation:

Two ways we can solve this problem:

1. Graphically

2. Mathematically

Because you already solved it graphically, I will show you how to do so mathematically. Of course, graphically is much much easier and more efficient in this problem.

Let's break the problem down.

First, we are given a graph which contains a slope.

To find slope, we use the technique -> rise/run

Picking 2 obvious points from the graph, we can see

1st point -> (10, 20)

2nd point -> (40, 80)

Now, let's find the slope

\frac{80-20}{40-10}  = \frac{60}{30}  = 2

Now, we have an equation y = 2x, where y = number of pies and x = cups of sugar

We want to find how many cups of sugar we need to bake 80 pies. Simply substitute 80 = number of pies = y

y = 2x -> 80 = 2x

Solving for x, divide both sides by 2

40 = x

We need 40 cups of sugar.

3 0
2 years ago
8. Colby and Cheryl work in different local supermarkets. Colby regularly earns $8.90 per hour,
faust18 [17]

Answer:

colby

hourly rate =$8.90

overtime rate = time and a half = 1.5

the hourly overtime rate is the product of the overtime rate and the hourly rate.

hourly overtime rate= overtime rate × hourly rate

= 1.5 × $8.90

= $13.35

Cheryl

hourly rate = $7.10

overtime rate = double time = 2

the hourly overtime rate is the product of overtime rate and the hourly rate.

hourly overtime rate = overtime rate × hourly rate

= 2 × $7.10

= $14.20

<h3>Comparison</h3>

we note that the hourly overtime rate of cheryl is higher than the hourly overtime rate of colby, which implies that cheryl earns more for one hour of overtime.

we are also interested in the difference of the hourly overtime rate:

hourly overtime rate colby — hourly overtime rate cheryl

= $14.20 – $13.35

= $0.85

thus cheryl earns $0.85 more for one hour of overtime than colby .

<h3>result</h3>

<h2>cheryl,$0.85</h2>

그것이 당신에게 도움이되기를 바랍니다 :)

가장 똑똑한 것으로 표시하십시오 :)

좋은 하루 되세요 :)

5 0
2 years ago
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