91Ó°ÊÓ

A 200 foot tall monument is located in the distance. From a window in a building, a person determines that the angle of elevation to the top of the monument is \(15^{\circ}\) and that the angle of depression to the bottom of the tower is \(2^{\circ} .\) How far is the person from the monument?

A 400 foot tall monument is located in the distance. From a window in a building, a person determines that the angle of elevation to the top of the monument is \(18^{\circ}\) and that the angle of depression to the bottom of the tower is \(3^{\circ} .\) How far is the person from the monument?

There is an antenna on the top of a building. From a location 300 feet from the base of the building, the angle of elevation to the top of the building is measured to be \(40^{\circ}\). From the same location, the angle of elevation to the top of the antenna is measured to be \(43^{\circ}\). Find the height of the antenna.

Find the coordinates of a point on a circle with radius 15 corresponding to an angle of \(220^{\circ}\)

Find the distance along an arc on the surface of the earth that subtends a central angle of 7 minutes (1 minute \(=1 / 60\) degree). The radius of the earth is 3960 miles.

A sector of a circle has a central angle of \(45^{\circ} .\) Find the area of the sector if the radius of the circle is \(6 \mathrm{~cm} .\)

A wheel of radius 14 in. is rotating \(0.5 \mathrm{rad} / \mathrm{sec}\). What is the linear speed \(v\), the angular speed in RPM, and the angular speed in deg/sec?