Trigonometric Functions and Satellite Distances

The video tutorial explains how to calculate the distance and height of a satellite using trigonometry. It covers the path of a satellite over two tracking stations, the angles of elevation, and the use of right triangles and the law of sines to determine the satellite's distance from a station and its height above the ground.

What is the distance between the two tracking stations A and B?

• 83.5 miles

• 93.1 miles

• 86.9 miles

• 56 miles

What are the angles of elevation at stations A and B?

• 86.9° and 83.5°

• 90° and 45°

• 60° and 30°

• 75° and 15°

What is the complementary angle to the angle of elevation at station A?

• 3.1°

• 4.5°

• 6.5°

• 5.5°

What is the measure of the angle opposite to the side of known length in the obtuse triangle?

• 86.9°

• 83.5°

• 93.1°

• 3.4°

Which trigonometric law is used to find the distance from station A?

• Law of Cosines

• Law of Sines

• Law of Tangents

• Pythagorean Theorem

What is the approximate distance of the satellite from station A?

• 93818 miles

• 90000 miles

• 56000 miles

• 83000 miles

Which trigonometric function is used to find the height of the satellite?

• Cosine

• Sine

• Tangent

• Cotangent

What is the approximate height of the satellite above the ground?

• 9368 miles

• 9000 miles

• 5600 miles

• 8300 miles

What is the measure of the angle used to calculate the height of the satellite?

• 75°

• 86.9°

• 83.5°

• 90°

What is the significance of the angle 3.4° in the calculations?

• It is the angle of elevation

• It is the angle opposite the known side

• It is the complementary angle

• It is the angle used to find height