9,261 Answered Questions for the topic trigonometry
At noon, ship A is 180 km west of ship B. Ship A is sailing east at 30 km/h and ship B is sailing north at 25 km/h. How fast (in km/hr) is the distance between the ships changing at 4:00 p.m.?
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Trigonometry Calculus
08/26/22
Find, correct to five decimal places, the length (in cm) of the side labeled x.
given 14 cm and 39 degree angle
Trigonometry Calculus
08/26/22
Find the remaining trigonometric ratios. tan(š¼) = 7, 0 < š¼ < š 2
Trigonometry Calculus
08/26/22
If sin(x) = 1/3 and sec(y) = 17/15 , where x and y lie between 0 and š 2 , evaluate the expression. cos(x ā y)
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Trigonometry Calculus
08/26/22
Find all values of x in the interval [0, 2š] that satisfy the inequality. (Enter your answer using interval notation.) ā9 < 9 tan(x) < 9
Trigonometry Calculus
08/26/22
Find all values of x in the interval [0, 2š] that satisfy the inequality. (Enter your answer using interval notation.) 5 sin(x) > 5 cos(x)
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Under what condition on the coefficients a, b, and c does the equation x2 + y2 + ax + by + c = 0 represent a circle?
When the condition is satisfied, find the radius of the circle. When the condition is satisfied, find the center of the circle.
Trigonometry
08/25/22
Particular Swamp Trigonometry
It is impossible to measure the length of a particular swamp directly. Kendra put a stake in the ground and measured from the stake to opposite ends of the swamp, the results being 410 m and 805...
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Trigonometry
08/25/22
Trigonometry Dock Question
In a large harbor, the docks are labelled alphabetically and are built side by side in a straight line. DockĀ AĀ and DockĀ KĀ are located 2.3 km apart along this line. DockĀ LĀ is on an island outside...
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Trigonometry
08/25/22
Inverse trigonometry function
Prove that 2tan^-1 (2) + tan^-1 (3)= Ļ + tan^-1 (1/3)
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Find an equation of the line that satisfies the given conditions. through (2, 4) and (1, 8)
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Trigonometry
08/25/22
Complement and supplement of 14 degrees 25 minutes?
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Solve the inequality in terms of intervals. (Enter your answer using interval notation.) 4 ā 8x ā„ 1
Show how to graph the answer on a real number line.
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Power failure Question
A power failure on the bridge of a Great Lakes freighter has resulted in the ship's navigator having to do her own calculations. She measures the angle between the ship's course and a lighthouse...
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Soccer Question
The posts of a soccer (football) net are 7.50 m apart. A player is about to kick the ball to the net. If the ball is approximately 15 m from one post and 20 m from the other, within what angle does...
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Solve the following triangles
Recall that "to solve a triangle" means to find values for all the angles and sides that weren't already given values. Using your knowledge of the sine and cosine laws, solve the following...
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Trigonometry Geometry
08/24/22
How do i calculate point z when given only x y and a distance z is away from the 0,0 point
Example X = -2Y = -1Z = -4Distance is 4Calculated from standard formula D= Sqrroot (XĀ² + YĀ² + ZĀ²)Using the above example how would I find Z if it was unknown to me ?
High Cliff Question
An observer stands on the edge of a 375 m high cliff. Below him is a river. He estimates that the angle of depression to the near bank of the river is 80Ā° and the angle of depression to the far...
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Height of flagpole
In another attempt to determine the height of the flagpole, a meter stick was placed vertically beside the flagpole. When the flagpoleās shadow was 36.72 m long, the meter stickās shadow was 3.06 m...
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Flagpole question
A flagpoleās shadow was measured to be 44.78 m long, and the angle of elevation to the top of the pole from the end of the shadow was 15Ā°. Find the height of the flagpole.Ā (3Ā marks)
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Tent pole question
A 2.3 m tent pole is supported by a 2.7 m rope anchored in the ground some distance from the foot of the pole. Find the angle between the ground and the rope, to the nearest degree.Ā (3Ā marks)
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Sailboat question
A sailboat drops a 455 m anchor line and drifts until the line is tight. If the anchor line makes an angle of 80Ā° with the water line, how deep is the water?Ā (3Ā marks)
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Find length of sides
In triangleĀ DEF,Ā ā E=90Ā°,Ā ā D=60Ā°, and sideĀ DEĀ is 1 unit long. Find the length of the other two sides. Give answers to 2 decimal places where needed.Ā (3 marks)
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