# Cosine + sphere - math problems

#### Number of problems found: 9

• Sphere in cone
A sphere of radius 3 cm describes a cone with minimum volume. Determine cone dimensions.
• What percentage
What percentage of the Earth’s surface is seen by an astronaut from a height of h = 350 km. Take the Earth as a sphere with the radius R = 6370 km
• The spacecraft
The spacecraft spotted a radar device at altitude angle alpha = 34 degrees 37 minutes and had a distance of u = 615km from Earth's observation point. Calculate the distance d of the spacecraft from Earth at the moment of observation. Earth is considered a
• Earth's circumference
Calculate the Earth's circumference of the parallel 48 degrees and 10 minutes.
• Felix
Calculate how much land saw Felix Baumgartner after jump from 32 km above ground. The radius of the Earth is R = 6378 km.
• Earth parallel
Earth's radius is 6370 km long. Calculate the length parallel of latitude 50°.
• 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.
• The hemisphere
The hemisphere container is filled with water. What is the radius of the container when 10 liters of water pour from it when tilted 30 degrees?
• Moon
We see Moon in the perspective angle 28'. Moon's radius is 1740 km at the time of the full moon. Calculate the mean distance of the Moon from the Earth.

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Cosine - math word problems. Sphere Problems.