Ask question

Ask question

All categories

2 years ago

9

From a balloon 915 feet high, the angle of depression to the ranger headquarters is 85°14'. How far is the headquarters from a p

oint on the ground directly below the balloon (to the nearest foot)?

1 answer:

zalisa [80]2 years ago

3 0

<span>tan(85°14') = 915/d
hope this helps

</span>

You might be interested in

The tax on a property with an asseesed value of 90000 is 1200. what is the assesed value of a property if the tax is 2200?

den301095 [7]

165000 is the assessed value

3 0

3 years ago

Read 2 more answers

Without using a calculator, order the following numbers from least to greatest.<br> 5<br> 39<br> 6

mote1985 [20]

Answer:

5, 6, 39

Step-by-step explanation:

8 0

3 years ago

42-(32+4)+7<br> Evaluate the following expression

gulaghasi [49]

Answer:

13

Step-by-step explanation:

42 - (32 + 4) + 7 =

42 - 36 + 7 =

13

5 0

2 years ago

Read 2 more answers

The population of the world was 7.1 billion in 2013, and the observed relative growth rate was 1.1% per year. A) Estimate how lo

VLD [36.1K]

Answer:

A) 63.36 years.

B) 100.42 years.

Step-by-step explanation:

We have been given that the population of the world was 7.1 billion in 2013, and the observed relative growth rate was 1.1% per year.

A) Since we know that population increases exponentially, therefore we will use our given information to form an exponential model for population increase and then we will solve for the time by which our population will be double.

$P(t)=7.1(1.011)^{t}$

$7.1 \times 2=7.1(1.011)^{t}$

$\frac{7.1 \times 2}{7.1} =(1.011)^{t}$

$2 =(1.011)^{t}$

Now let us solve for t using logarithm.

$ln(2) =ln (1.011)^{t}$

$ln(2) =t \cdot ln(1.011)$

$0.6931471805599453 =t \cdot 0.0109399400383344$

$t=\frac{0.6931471805599453}{0.0109399400383344}$

$t=63.3593217267282743049\approx 63.36$

Therefore, it will take 63.36 years the population to be double.

B) Now we will find the number of years it will take the population to be triple of its size.

$7.1 \times 3=7.1(1.011)^{t}$

$\frac{7.1 \times 3}{7.1} =(1.011)^{t}$

$3 =(1.011)^{t}$

Now let us solve for t using logarithm.

$ln(3) =ln (1.011)^{t}$

$ln(3) =t \cdot ln(1.011)$

$1.0986122886681097 =t \cdot 0.0109399400383344$

$t=\frac{1.0986122886681097}{0.0109399400383344}$

$t=100.4221490079915311298\approx 100.42$

Therefore, it will take 100.42 years the population to triple of its size.

6 0

2 years ago

A certain positive number is multiplied by 4, and then the result is subtracted from the original number. The result is 21 less

stira [4]

Answer:

The number is 7

Step-by-step explanation:

certain positive number: x

x is multipled by 4:

4x

result of this is subtracted from the original number:

so original number minus 4x,

x - 4x

the result is 21 less than 0, this means negative 21

x - 4x = 0 - 21 = -21

do algebra:

-3x = -21

multiply both sides by -1

3x = 21

divide both sides by 3

x=7

(certain positive number: x) is equal to 7

4 0

2 years ago

Read 2 more answers