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nevsk [136]
3 years ago
15

An airplane pilot over the Pacific sights an atoll at an angle of depression of 5 . At this time, the horizontal distance from t

he airplane to the atoll is 4629 meters. What is the height of the plane to the nearest meter?
Mathematics
1 answer:
Aleonysh [2.5K]3 years ago
6 0

Answer:

404.98 m

Step-by-step explanation:

The angle of depression is 5°

The horizontal distance from the airplane to the atoll is 4629 meters.

We need to find the height of the plane.

If we consider a triangle. 4629 meters will be the base and angle is 5°. Let h is the height of the plane. Using trigonometry to find it :

\tan\theta=\dfrac{x}{4629 }\\\\\tan(5)=\dfrac{x}{4629 }\\\\x=\tan(5)\times 4629 \\\\x=404.98\ m

So, the height of the plane is 404.98 m.

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What percent of increase for a population that changed from 25,000 to 30,000
tiny-mole [99]

percent of increase for a population that changed from 25,000 to 30,000

Increase in population = 30,000 - 25,000 = 5000

So, the increase in population is 5000

To find percent of increase , we divide the increase in population by initial population.

So percent of increase = \frac{5000}{25000} * 100

= 0.2 * 100

= 20 %

20% of increase for a population that changed from 25,000 to 30,000.

7 0
3 years ago
Read 2 more answers
Write the slope-intercept form of the equation of the line that is perpendicular to AB and passes through Point X. Show all work
aleksandr82 [10.1K]

Answer:

Equation of line is y=(12/5)x+2

Step-by-step explanation:

The slope of line AB is -5/12. The line passing X is perpendicular to line AB and hence have a slope of 12/5. The slope intercept form is given by y=mx+c.

Now, point X satisfies the equation. Plugging in the slope of the line we end up with

y=(12/5)*x+c, now to find c

-10=(12/5)*(-5)+c, c=2

Equation of line is y=(12/5)x+2

7 0
3 years ago
Find the sum or difference <br> 1/2 - 1/14<br> A.3/7<br> B.2/7<br> C.4/7
pogonyaev

Answer:

A.3/7

Step-by-step explanation:

1/2 - 1/14

We need to get a common denominator of 14

1/2 * 7/7 = 7/14

7/14 - 1/14 = 6/14

We can simplify by dividing the top and bottom by 2

3/7

7 0
3 years ago
Find the area of a parallelogram if a base and corresponding altitude have the indicated lengths.
Vitek1552 [10]
The answer is 3/4 ft² = 0.75 ft²

The area (A) of the parallelogram with altitude a and base b is:
A = a * b

We have:
A = ?
a = 6 in
Since 1 inch is 0.083 feett, then 6 inches is
a = 6 * 0.083 ft = 0.498 ft ≈ 0.5 ft = 1/2 ft
b = 1 1/2 ft = 1 + 1/2 ft = 2/2 + 1/2 ft = 3/2 ft
_______
A = a * b
a = 1/2 ft
b = 3/2 ft
A = 1/2 * 3/2 = 3/4 ft² = 0.75 ft²
4 0
3 years ago
At 1 p.m., there were 257 visitors in the museum.
trapecia [35]

Use function notation to represent this statement:

At 1 p.m., there were 257 visitors in the museum.

Answer:  V(4)=257

Explanation: It says that the Museum opens at 9 so it would be 4 hours. And the 257 is the number of visitors at that time.

5 0
3 years ago
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