Not drawn to scale 1. Over 2000 years ago, the Greek scholar Eratosthenes estimated Earth's circumference by assuming that the Sun's rays were parallel. He chose a day when the Sun shone straight down into a well in the city of Syene. At noon, he measured the angle the Sun's rays made with a vertical stick in the city of Alexandria. Eratosthenes assumed that the distance from Syene to Alexandria was equal to about 575 miles. Explain how wwww www Eratosthenes was able to use this information to estimate Earth's circumference. Then estimate Earth's circumference.

Q: The radius of a wheel rolling on the ground is 80 centimeters. If the wheel rotates through an angle…

A: Given that the wheel is rotated by an angle of 60°We know that i°=π180 and∴60°=60xπ180rad=π3rad

Q: A group of students estimated the height of a building. They stood at point C which is 25 meters…

A: Given  Distance between A and C is 25 meters  Light beam makes 60 degree with the ground  To…

Q: Suppose a 15-ft leans against the side of a house reaching a window that is 10-ft off the ground. a.…

A: Consider the diagram: Where, AC is the ladder and AB is the side of the house BC is the Distance…

Q: When you use a protractor to measure an angle, the reported measurement is rounded to the nearest…

A: Consider (a) 23° 15’ 30”

Q: Solve the right triangle ABC with angle C = 90.0 deg, b = 32.2 ft andc = 51.3 ft Round appropriatelv…

A: We can use right angle triangle properties and law of sines to solve the triangle

Q: A pedestal is 5.43 feet tall, and a statue is placed on top of it. A spotlight on the floor lights…

A:

Q: It is desired to determine the height of a flagpole. Assuming that the ground is level, an…

A: To find: We have to find how tall is the flagpole from its base i.e., the height of the flagpole.

Q: An observer noted an angle of elevation of 18.8 degrees at the head of the statue and an angle of…

A:

Q: A wheel has a diameter of 1.5 feet: how many complete revolutions does it make in 9 miles (1mile =…

A: Given information:The diameter of mile is 1.5 feet.Formula Used: Evaluate the length of…

Q: 2. The angle between the shaft and the blade of a hockey stick is 120°. The shaft is 1.5 m long and…

A: In this question we determine an exact expression for the straight line distance from the Top of the…

Q: A piece of wire is bent into the shape of a triangle. Two sides have length 22 inches and 27 inches.…

A:

Ratios

A ratio is a comparison between two numbers of the same kind. It represents how many times one number contains another. It also represents how small or large one number is compared to the other.

Trigonometric Ratios

Trigonometric ratios give values of trigonometric functions. It always deals with triangles that have one angle measuring 90 degrees. These triangles are right-angled. We take the ratio of sides of these triangles.