Chloe Mack

A pilot in a plane at an altitude of 22,000 feet observes that the angle of depression to a nearby airport is 26 degrees. How many miles is the airport from a point on the ground directly below the plane?

A woman on the top of a 448 foot high building spots a small plane. As she views the plane, its angle of elevation is 62 degrees. At the same instant a man at the ground-level entrance to the entrance to the building sees the plane and notes that its an a...

A road rises 140 feet per horizontal mile. What angle does the road make with the horizontal?

A lighthouse keeper 100 feet above the water sees a boat sailing in a straight line directly toward her. As watches, the angle of depression to the boat changes from 25 degrees to 40. How far has the boat traveled during this time?

A boat travels for 8 kilometers in a straight line from the dock. It is then sighted from a lighthouse which is 6.5 kilometers from the dock. The angle determined by the dock, the lighthouse(vertex), and the boat is 25 degrees. How far is the boat from th...

A pole tilts 12 degrees from the vertical, away from the sun, casts a 34 foot long shadow on level ground. The angle of elevation from the end of the shadow to the top of the pole is 64 degrees. How long is the pole?

Two surveyors, Joe and Alice, are 240 meters apart on a riverbank. Each sights a flagpole on the opposite bank. The angle from the pole to Joe (vertex) to Alice is 63 degrees. The angle from the pole to Alice(vertex)to Joe is 54 degrees. How far are Joe a...

A surveyor stakes out points A and B on sides of a building. Point C on the side of the building is 300 feet from A and 440 feet from B. Angle ACB measures 38 degrees. What is the distance from A to B?

A straight road slopes at an angle of 10 degrees with the horizontal. When the angle of elevation of the sun (from horizontal) is 62.5 degrees, a telephone pole at the side of the road casts a 15 foot shadow downhill, parallel to the road. How high is the...