Tropical, mild and arctic

How many percents of the Earth's surface lies in the tropical, mild and arctic range? The border between the ranges is the parallel 23°27 'and 66°33'.

Correct result:

p₁ = 8.2592 %
p₂ = 51.9459 %
p₃ = 39.7949 %

Solution:

A = 23 + 27 / 60 = \frac{469}{20} = 23.4 5^{\circ} B = 66 + 33 / 60 = \frac{1331}{20} = 66.5 5^{\circ} r = 6371 km h_{1} = r - r \cdot \cos (A^{\circ} \to rad) = r - r \cdot \cos (A^{\circ} \cdot \frac{π}{180}) = 6371 - 6371 \cdot \cos (23.4 5^{\circ} \cdot \frac{3.1415926}{180}) = 526.19555 km h_{2} = r - r \cdot \cos (B^{\circ} \to rad) = r - r \cdot \cos (B^{\circ} \cdot \frac{π}{180}) = 6371 - 6371 \cdot \cos (66.5 5^{\circ} \cdot \frac{3.1415926}{180}) = 3835.66927 km S = 4 π \cdot r^{2} / 2 = 4 \cdot 3.1416 \cdot 637 1^{2} / 2 ≐ 255032235.955 {km}^{2} S_{1} = 2 π \cdot r \cdot h_{1} = 2 \cdot 3.1416 \cdot 6371 \cdot 526.1955 ≐ 21063699.1055 {km}^{2} S_{2} = 2 π \cdot r \cdot h_{2} = 2 \cdot 3.1416 \cdot 6371 \cdot 3835.6693 ≐ 153542506.717 {km}^{2} p_{1} = 100 \cdot \frac{S_{1}}{S} = 100 \cdot \frac{21063699.1055}{255032235.955} = 8.2592 %

S_{3} = S_{2} - S_{1} = 153542506.717 - 21063699.1055 = 132478807.611 {km}^{2} p_{2} = 100 \cdot \frac{S_{3}}{S} = 100 \cdot \frac{132478807.611}{255032235.955} = 51.9459 %

p_{3} = 100 - (p_{1} + p_{2}) = 100 - (8.2592 + 51.9459) = 39.7949 %

Try another example

We would be pleased if you find an error in the word problem, spelling mistakes, or inaccuracies and send it to us. Thank you!

Showing 0 comments:

Tips to related online calculators

Our percentage calculator will help you quickly calculate various typical tasks with percentages.

You need to know the following knowledge to solve this word math problem:

We encourage you to watch this tutorial video on this math problem: video1

Next similar math problems:

Tropics and polar zones
What percentage of the Earth’s surface lies in the tropical, temperate and polar zone? Individual zones are bordered by tropics 23°27' and polar circles 66°33'
Triangles
Find out whether given sizes of the angles can be interior angles of a triangle: a) 23°10',84°30',72°20' b) 90°,41°33',48°37' c) 14°51',90°,75°49' d) 58°58',59°59',60°3'
Spherical cap
Place a part of the sphere on a 4.6 cm cylinder so that the surface of this section is 20 cm². Determine the radius r of the sphere from which the spherical cap was cut.
Spherical cap
From the sphere of radius 11 was truncated spherical cap. Its height is 6. What part of the volume is a spherical cap from the whole sphere?
RWY
Calculate the opposite direction of the runway 13. Runways are named by a number between 01 and 36, which is generally one tenth of the azimuth of the runway's heading in degrees: a runway numbered 09 points east (90°), runway 18 is south (180°), runway 2
What is
What is the probability that the sum of 9 will fall on a roll of two dice? Hint: write down all the pairs that can occur as follows: 11 12 13 14 15. . 21 22 23 24. .. . 31 32. .. . . . . . .. . 66, count them, it's the variable n variable m: 36, 63,. .. .
A spherical segment
A spherical section whose axial section has an angle of j = 120° in the center of the sphere is part of a sphere with a radius r = 10 cm. Calculate the cut surface.
Meridian
What is the distance (length) the Earth's meridian 23° when the radius of the Earth is 6370 km?
Speed of Slovakian trains
Rudolf decided to take the train from the station 'Ostratice' to 'Horné Ozorovce'. In the train timetables found train Os 5409 : km 0 Chynorany 15:17 5 Ostratice 15:23 15:23 8 Rybany 15:27 15:27 10 Dolné Naštice 15:31 15:31 14 Bánovce nad Bebravou 15:35 1
Sphere - parts
Calculate the area of a spherical cap, which is part of an area with base radius ρ = 9 cm and a height v = 3.1 cm.
Spherical cap 4
What is the surface area of a spherical cap, the base diameter 20 m, height 2.5 m? Calculate using formula.
Spherical cap
What is the surface area of a spherical cap, the base diameter 20 m, height 2 m.
Gasholder
The gasholder has spherical shape with a diameter 23 m. How many m³ can hold in?
Rotation of the Earth
Calculate the circumferential speed of the Earth's surface at a latitude of 61°. Consider a globe with a radius of 6378 km.
Above Earth
To what height must a boy be raised above the earth in order to see one-fifth of its surface.
Fighter
A military fighter flies at an altitude of 10 km. From the ground position, it was aimed at an altitude angle of 23° and 12 seconds later at an altitude angle of 27°. Calculate the speed of the fighter in km/h.
On Sunday
On Sunday the temperature reached a high of 38° above 0. That night it dropped to 23° below 0. What is the difference between the high and low temperatures for Sunday?