Sine Word Problems

Many students find sine word problems difficult. At TuLyn, we created word problems on sine to help you better understand sine.

Law Of Sines Word Problems

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Below is the list of all word problems we have on sine.

Sine Word Problems

  • A 25 m tower standing vertically (#847)
    A 25 m tower standing vertically on a hillside casts a shadow down the hillside that is 27 m long. The angle at the tip of the shadow S, subtended by the tower is  26...
    trigonometric functions, law of sines, sine, functions
  • A ferris wheel is built such that (#3414)
    A ferris wheel is built such that the height (h) in feet above the ground of a seat on the wheel at time (t) in sec can be modeled by: H(t)=53+50sin(π/10t-π/2)
    Find the angular speed in radians and the linear speed in feet?
    sine, trigonometric functions, functions
  • A pig at Papas Barn just had a litter of piglets (#2809)
    A pig at Papas Barn just had a litter of piglets. The whole barn is about 12 miles long. In the middle of the night one piglet ran out of the barn a traveled down to the Bray Ranch which is about 13.5 miles away. When viewed on the towns map the two barns make a 115 degree ...
    law of sines, sine, trigonometric functions, functions
  • A satellite, travelling in a circular orbit (#253)
    A satellite, travelling in a circular orbit 700 km above Earth, will pass directly over a tracking station at noon. The satellite takes 95 mins to complete an orbit.
    a) If the antenna for a tracking station is aimed at an angle of elevation of 30 degrees, at what time will the satelite pass through the beam of the ...
    law of sines, sine, trigonometric functions, functions
  • A ship at sea, the Admiral, spots two other ships (#3031)
    A ship at sea, the Admiral, spots two other ships, the Barstow and the Cauldrew and measures the angle
    between them to be 65 . They radio the Barstow and by comparing known landmarks, the distance
    between the Admiral and the Barstow is found to be 236 meters. The Barstow reports an angle of 36
    between the Admiral and the Cauldrew. To the nearest ...
    sine, trigonometric functions, functions
  • A straight road makes an angle of 15 degrees (#2414)
    A straight road makes an angle of 15 degrees with the horizontal. When the angle of elevation of the sun is 57 degrees, a vertical pole at the side of the road casts a shadow 75 feet long directly down the ...
    law of sines, sine, trigonometric functions, functions
  • A tree on a hillside casts a shadow (#1959)
    A tree on a hillside casts a shadow 215 ft down the hill. If the angle of inclination of the hillside is 22 degrees to the horizontal and the angle of elevation of the sun is 52 ...
    sine, trigonometric functions, functions
  • An airplane is sighted at the same time (#54)
    An airplane is sighted at the same time by two ground observers who are 4 miles apart and both directly west of the airplane. They report the angles of elevation as 11 and 22...
    law of sines, sine, trigonometric functions, functions
  • Coast Guard Station Able is located (#2381)
    Coast Guard Station Able is located 150 miles due south of Station Baker. A ship at sea sends an SOS call that is received by each station. The call to Station Able indicates that the ship is located N55E; the call to Station Baker indicates that the ship is located S60E.
    (a) How far is each station from the ship?
    (b) If a helicopter capable of flying 200 miles per hour is dispatched from the nearest station to the ...
    sine, law of sines, trigonometric functions, functions
  • Due to wind, a tree grew (#1110)
    Due to wind, a tree grew so that it leaned 8 degrees from the vertical. From a point on the ground 28 meters from the base of the tree, the angle of elevation to the top of the tree is 24.6 ...
    law of sines, sine, trigonometric functions, functions
  • Island A is 230 miles from island B (#3030)
    Island A is 230 miles from island B. A ship captain travels 270 miles from island A and then finds that he
    is off course and 180 miles from island B. What angle, in degrees, must he turn through to head straight
    for island ...
    sine, trigonometric functions, functions
  • Law Of Sines (#6240)
    a pilot is flying over a straight highway. The angles of depression are 5 miles apart and are 32 degees and 48 ...
    law of sines, sine, trigonometric functions, functions
  • Law Of Sines (#6872)
    AB is a line 652 feet long on one bank of a stream, and C is a point on the opposite bank. A = 58 degrees, and B = 48 degrees ...
    law of sines, sine, trigonometric functions, functions
  • Law Of Sines (#8003)
    A rocket tracking station has two telescopes A and B placed 1.1 miles apart. The telescopes lock onto a rocket and transmit their angles of elevation to a computer after a rocket ...
    law of sines, sine, trigonometric functions, functions
  • Law Of Sines (#8022)
    A pilot is flying over a straight highway. He determines the angles of depression to two mileposts, 9 mi apart, to be 32 and 48, as shown in the figure. Round your answers to the nearest tenth mile.

    (a) Find the distance of the plane from point ...
    law of sines, sine, trigonometric functions, functions
  • Law Of Sines (#8162)
    A boat is sailing due east parallel to the shoreline at a speed of 10 miles per hour. At a given time the bearing to the light house is S 70 degrees W and 15 minutes later the bearing is S 63 ...
    law of sines, sine, trigonometric functions, functions
  • Law Of Sines (#8590)
    The pentagon has 5 side each of them are 921 feet ...
    law of sines, sine, trigonometric functions, functions
  • Law Of Sines (#9481)
    to find the distance from the house at A to the house at B, a surveyoor measures the anges BAC to be 40 degrees and then walks off a distance of 100 feet to C and measures the angle ACB to be 50 ...
    law of sines, sine, trigonometric functions, functions
  • Law Of Sines (#9857)
    A tree growing on a hillside casts a 157ft shadow straight down the hill. Find the vertical height of the tree if relative to the horizontal, the hill slopes 11...
    law of sines, sine, trigonometric functions, functions
  • Law Of Sines (#10520)
    A 25 m tower standing vertically on a hillside casts a shadow down the hillside that is 27 m long. The angle at the tip of the shadow S, subtended by the tower is  26. What is the angle of elevation of the sun at S
    law of sines, sine, trigonometric functions, functions
  • Law Of Sines (#10808)
    To find the length of the span of a proposed ski lift from A to B, a survey or measures the angle DAB to be 25 degrees and then walks off a distance of 1000ft to C and measures the angles ACB to 15 ...
    law of sines, sine, trigonometric functions, functions
  • Sine (#5747)
    bob and donna leave their home .they travel in opposite drections. bob travels 65 mph and donna travels 75 mph ...
    sine, trigonometric functions, functions
  • Sine (#9299)
    a ship is sailing toward a small island 800 miles away. if the ship is 2 degrees of course, by how many miles will it miss he island
    sine, trigonometric functions, functions
  • The course for a bike race follows (#3069)
    The course for a bike race follows a triangular shaped trail. The first leg is a straight 6 kilometre ride. After that, the biker must turn 283 degrees to the left and follow the train to the next turn. Turning 269 degrees again to the left will take the biker to the finish line, which is exactly where he ...
    law of sines, sine, trigonometric functions, functions
  • Two observers,who are 2 miles apart (#1172)
    Two observers,who are 2 miles apart on a horizontal  plane,observe a balloon the same vertical plane with themselves. The angles of elevation are 50' and 65' respectively. Find the height of the balloon ...
    sine, law of sines, trigonometric functions, functions
  • Two people leave from the same point (#2378)
    Two people leave from the same point. Their paths diverge by 95 degrees. If one walks 5 miles and the other walks 3.5 ...
    law of sines, sine, trigonometric functions, functions
  • You need to determine the length (#697)
    You need to determine the length of a tunnel drilled through a lunar peak at the center of a crater. From a point on the crater floor, you run ropes to the ends of the tunnel. The first rope's distance covered is 24.5 meters and the second rope's distance is 21.2 meters. The two ropes meet at an angle of 68 degrees.
    a) What is the length of the ...
    law of sines, sine, trigonometric functions, functions

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Many students find sine word problems difficult. At TuLyn, we created word problems on sine to help you better understand sine.