All categories

3 years ago

A pilot is traveling at a height of 30,000 feet above level ground. She looks down at

Mathematics

1 answer:

vladimir2022 [97]3 years ago

3 0

Answer:

540.6 mi

Step-by-step explanation:

The angle of depression = angle of elevation = 6°

Let x = the distance to the runway.

tan 6 = 30000/x

xtan 6 = 30000

x = 30000/tan 6 =285430.9 ft

285430.9336.../5280 = 540.6 mi

You might be interested in

When you buy an item on which sales tax is charged,the total cost is calculated by the formula T=P+s/100p where T is the total c

Gennadij [26K]

Given:

The formula for total cost is

$T=p+\dfrac{s}{100}p$

where, p is the price of item and s is the sales tax rate (as a percent).

You pay $14.77 for an item priced at $14.

To find:

The the tax rate.

Solution:

You pay $14.77 for an item priced at $14. So,

Total cost (T) = $14.77

Price of item (p) = $14

Putting T=14.77 and p=14 in given formula, we get

$14.77=14+\dfrac{s}{100}(14)$

$14.77-14=\dfrac{s}{100}(14)$

$0.77=\dfrac{s}{100}(14)$

Multiply both sides by 100.

$77=14s$

Divide both sides by 14.

$\dfrac{77}{14}=s$

$5.5=s$

Therefore, the tax rate is 5.5%.

7 0

3 years ago

Molly categorized her spending for this month into four categories: Rent, Food, Fun, and Other. The percents she spent in each c

Alisiya [41]

Answer:

750

Step-by-step explanation:

it is to easey

5 0

3 years ago

What is the slope of a line that contains the points (12,17) and (-8,-17)

professor190 [17]

$\frac{y2 - y1}{x2 - x1}$
$\frac{ - 17 - 17}{ - 8 - 12} = \frac{ - 34}{ - 20} = \frac{17}{10}$
Alternative forms:
$1 \frac{7}{10} \: or \: 1.7$
Slope: 17/10
Equation : y= 17/10x

6 0

4 years ago

Use an inequality symbol (<,>,=,<_) to compare -3+7____-10-2

Oliga [24]

Answer:

Step-by-step explanation:

-3+7= 4

-10-2= -12

4> -12

6 0

4 years ago

Eric's average income for the four months of the year 1450 point to $5 what must be his average income for the remaining eight m

Zielflug [23.3K]

Answer:

$2668.63

Step-by-step explanation:

If the average of 4 months is $5

Meaning the total sum for 4 months

4×5 =$20

If the average for the year was $1780.75

It means the total sum for a year is;

$1780.75×12 =$21369

This means the money received for the remaining 8 months is;

$21369-$20=$21349

Hence the average income for the remaining 8months is ;

The total amount for 8 months / 8;

$21349/8= $2668.625

$2668.63

8 0

3 years ago