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Math Help - Trigonometry Bearing Word Problem

  1. #1
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    Question Trigonometry Bearing Word Problem

    Explain thoroughly and show the complete solution. And please
    sketch a picture every problem. It would really help me alot.

    1.) The angle of elevation of a balloon from a station directly
    south of it is 71.6 degrees. From a second station, 2.8 mi
    directly E of the first one, the angle of elevation is 46.9 degrees.
    If the instrument is 6 ft above the level ground, what is the
    height of the balloon in feet?

    2.) From the top of a tower, 380.5 ft above sea level, the angle
    of depression of a boat which has a bearing of N 70.4 degrees E
    was observed and found to be 32.6 degrees. Another boat,
    bearing S 19.6 degrees E, had an angle of depression of 16.9
    degrees. Find the distance between the boats.

    3.) A ship is sailling on a straight course. A lighthouse is sighted
    ahead, and it is noted that angle between a line to the lighthouse
    and the ships course is 27 degrees. After travelling 2.65 km, the
    ship has gone past to the lighthouse is now 420 degrees. How
    close (to the nearest meter) did the ship come to the lighthouse?

    4.) Airport B is 200 mi due East of airport A. To reach airport C,
    a plane flies from A on a course of 346.35 degrees or from B on
    a course of 302.2 degrees. Fine the distance from A to C and
    from B to C.

    5.) A ship leaves a small island on a course of 106 degrees. The
    ship is travelling at 25 knot (nautical miles per hour). After 2
    hours, the course is changed to 221 degrees. Some time later,
    the ship receives a message to return to the island. To do so,
    the ship turns to a heading of 33 degrees 30 minutes. What is
    the total length of the trip ( in nautical miles)?

    6.) A ship intends to sail from port A to port B at a distance of
    359 mi. It sails at a constant speed of 35 mph. After 2 h, the
    captain discovers that they have been sailling off course by 18
    degrees. He then corrects the course. What is the total time of
    the trip?

    7.) A plane leaves an airport and flies at 36 mph on a course of
    103.25 degrees for 1 hour and 33 minutes. Then it changes
    course to 236.75 degrees and flies for 48 minutes. How far is it
    from the airport? If it wished to return, what would be its course?
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  2. #2
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    Re: Trigonometry Bearing Word Problem

    This is the first part, the other problems are of the same kind.Trigonometry Bearing Word Problem-untitled2.gif
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  3. #3
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    Re: Trigonometry Bearing Word Problem

    Quote Originally Posted by jrsayre19 View Post
    Explain thoroughly and show the complete solution. And please
    sketch a picture every problem. It would really help me alot.

    1.) The angle of elevation of a balloon from a station directly
    south of it is 71.6 degrees. From a second station, 2.8 mi
    directly E of the first one, the angle of elevation is 46.9 degrees.
    If the instrument is 6 ft above the level ground, what is the
    height of the balloon in feet?

    2.) From the top of a tower, 380.5 ft above sea level, the angle
    of depression of a boat which has a bearing of N 70.4 degrees E
    was observed and found to be 32.6 degrees. Another boat,
    bearing S 19.6 degrees E, had an angle of depression of 16.9
    degrees. Find the distance between the boats.

    3.) A ship is sailling on a straight course. A lighthouse is sighted
    ahead, and it is noted that angle between a line to the lighthouse
    and the ships course is 27 degrees. After travelling 2.65 km, the
    ship has gone past to the lighthouse is now 420 degrees. How
    close (to the nearest meter) did the ship come to the lighthouse?

    4.) Airport B is 200 mi due East of airport A. To reach airport C,
    a plane flies from A on a course of 346.35 degrees or from B on
    a course of 302.2 degrees. Fine the distance from A to C and
    from B to C.

    5.) A ship leaves a small island on a course of 106 degrees. The
    ship is travelling at 25 knot (nautical miles per hour). After 2
    hours, the course is changed to 221 degrees. Some time later,
    the ship receives a message to return to the island. To do so,
    the ship turns to a heading of 33 degrees 30 minutes. What is
    the total length of the trip ( in nautical miles)?

    6.) A ship intends to sail from port A to port B at a distance of
    359 mi. It sails at a constant speed of 35 mph. After 2 h, the
    captain discovers that they have been sailling off course by 18
    degrees. He then corrects the course. What is the total time of
    the trip?

    7.) A plane leaves an airport and flies at 36 mph on a course of
    103.25 degrees for 1 hour and 33 minutes. Then it changes
    course to 236.75 degrees and flies for 48 minutes. How far is it
    from the airport? If it wished to return, what would be its course?
    Would you like us to cook you a five course dinner and wipe your bum while we're at it? Why not show some effort?
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  4. #4
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    Re: Trigonometry Bearing Word Problem

    Ha ha...
    Quote Originally Posted by Prove It View Post
    Would you like us to cook you a five course dinner and wipe your bum while we're at it? Why not show some effort?
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