Concept explainers
(a)
: The diagram and show the known quantities on the diagram, when the
(b)
To calculate: The distance between the plane and point
(c)
To calculate: The altitude of the plane, when the angle of elevation to an airplane from two points
(d)
To calculate: The distance the plane must travel before it is directly above point
Want to see the full answer?
Check out a sample textbook solutionChapter 3 Solutions
Trigonometry (MindTap Course List)
- Height of a Balloon A hot-air balloon is floating above a straight road. To estimate their height above the ground, the balloonists simultaneously measure the angle of depression to two consecutive mileposts on the road on the same side of the balloon. The angles of depression are found to be 20 and 22. How high is the balloon?arrow_forwardSpeed Enforcement A police department has set up a speed enforcement zone on a straight length of highway. A patrol car is parked parallel to the zone, 200 feet from one end and 150 feet from the other end (see figure). (a) Find the length l of the zone and the measures of angles A and B (in degrees). (b) Find the minimum amount of time (in seconds) it takes for a vehicle to pass through the zone without exceeding the posted speed limit of 35 miles per hour.arrow_forwardMeasurement A city engineer plans to build a footbridge across a lake from point X to point Y, as shown in the picture below. To find the length of the footbridge, she draws a right triangle XYZ, with right angle at X. She measures the distance from X to Z, 800 feet, and from Y to Z, 1,000 feet. How long will the bridge be?arrow_forward
- Height of a Building From a point A on the ground, the angle of elevation to the top of a tall building is 24.1. From a point B, which is 600 ft closer to the building, the angle of elevation is measured to be 30.2. Find the height of the building.arrow_forwardLeaning Windmill After a wind storm, a farmer notices that his 32-foot windmill may be leaning, but he is not sure. From a point on the ground 31 feet from the base of the windmill, he finds that the angle of elevation to the top of the windmill is 48. Is the windmill leaning? If so, what is the acute angle the windmill makes with the ground?arrow_forwardCalculating a Distance Observers at P and Q are located on the side of a hill that is inclined at 32 to the horizontal, as shown. The observer at P determines the angle of elevation to a hot-air balloon to be 62. At the same instant the observer at Q measures the angle of elevation to the balloon to be 71. If P is 60 m own the hill from Q, find the distance from Q to the balloon.arrow_forward
- Height At a point 50 feet from the base of a church, the angles of elevation to the bottom of the steeple and the top of the steeple are 35 and 48, respectively. Find the height of the steeple.arrow_forwardCalculating Distance Two straight roads diverge at an angle of 65. Two cars leave the intersection at 2:00 P.M., one travelling at 50 mi/h and the other at 30 mi/h. How far apart are the cars at 2:30 P.M.?arrow_forward
- Trigonometry (MindTap Course List)TrigonometryISBN:9781337278461Author:Ron LarsonPublisher:Cengage LearningAlgebra & Trigonometry with Analytic GeometryAlgebraISBN:9781133382119Author:SwokowskiPublisher:CengageAlgebra and Trigonometry (MindTap Course List)AlgebraISBN:9781305071742Author:James Stewart, Lothar Redlin, Saleem WatsonPublisher:Cengage Learning
- Trigonometry (MindTap Course List)TrigonometryISBN:9781305652224Author:Charles P. McKeague, Mark D. TurnerPublisher:Cengage Learning