<< Chapter < Page | Chapter >> Page > |
A 23-ft ladder leans against a building so that the angle between the ground and the ladder is How high does the ladder reach up the side of the building?
22.6506 ft
The angle of elevation to the top of a building in New York is found to be 9 degrees from the ground at a distance of 1 mile from the base of the building. Using this information, find the height of the building.
The angle of elevation to the top of a building in Seattle is found to be 2 degrees from the ground at a distance of 2 miles from the base of the building. Using this information, find the height of the building.
368.7633 ft
Assuming that a 370-foot tall giant redwood grows vertically, if I walk a certain distance from the tree and measure the angle of elevation to the top of the tree to be how far from the base of the tree am I?
For the following exercises, convert the angle measures to degrees.
For the following exercises, convert the angle measures to radians.
Find the length of an arc in a circle of radius 7 meters subtended by the central angle of 85°.
10.385 meters
Find the area of the sector of a circle with diameter 32 feet and an angle of radians.
For the following exercises, find the angle between 0° and 360° that is coterminal with the given angle.
For the following exercises, find the angle between 0 and in radians that is coterminal with the given angle.
For the following exercises, draw the angle provided in standard position on the Cartesian plane.
Find the linear speed of a point on the equator of the earth if the earth has a radius of 3,960 miles and the earth rotates on its axis every 24 hours. Express answer in miles per hour.
1036.73 miles per hour
A car wheel with a diameter of 18 inches spins at the rate of 10 revolutions per second. What is the car's speed in miles per hour?
Find the exact value of
State the reference angle for
Compute cosine of
State the domain of the sine and cosine functions.
For the following exercises, find the exact value of the given expression.
For the following exercises, use reference angles to evaluate the given expression.
If , what is the
Which trigonometric functions are even?
Which trigonometric functions are odd?
sine, cosecant, tangent, cotangent
For the following exercises, use side lengths to evaluate.
For the following exercises, use the given information to find the lengths of the other two sides of the right triangle.
For the following exercises, use [link] to evaluate each trigonometric function.
For the following exercises, solve for the unknown sides of the given triangle.
A 15-ft ladder leans against a building so that the angle between the ground and the ladder is How high does the ladder reach up the side of the building?
14.0954 ft
The angle of elevation to the top of a building in Baltimore is found to be 4 degrees from the ground at a distance of 1 mile from the base of the building. Using this information, find the height of the building.
Convert to radians.
Find the length of a circular arc with a radius 12 centimeters subtended by the central angle of
6.283 centimeters
Find the area of the sector with radius of 8 feet and an angle of radians.
Find the angle between 0 and in radians that is coterminal with
Draw the angle in standard position on the Cartesian plane.
A carnival has a Ferris wheel with a diameter of 80 feet. The time for the Ferris wheel to make one revolution is 75 seconds. What is the linear speed in feet per second of a point on the Ferris wheel? What is the angular speed in radians per second?
3.351 feet per second, radians per second
Find the exact value of
State the domain of the sine and cosine functions.
Find the exact value of
Use reference angles to evaluate
If what is the
Which trigonometric functions are even?
Find the missing sides of the triangle
The angle of elevation to the top of a building in Chicago is found to be 9 degrees from the ground at a distance of 2000 feet from the base of the building. Using this information, find the height of the building.
Notification Switch
Would you like to follow the 'Precalculus' conversation and receive update notifications?