Ship Movement and Distance
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Questions and Answers

What is the value of ∠B in a right triangle, given that ∠A = 63°?

  • 117°
  • 53°
  • 153°
  • 27° (correct)
  • What is the value of cos A in a right triangle, given that ∠A = 58°?

  • 0.8480 (correct)
  • 1.5299
  • 1.8480
  • 0.5299
  • What is the formula to find the length of the hypotenuse c in a right triangle, given the lengths of the legs a and b?

  • c² = a² + b² (correct)
  • c = a - b
  • c = a + b
  • c = ab
  • How do you find the value of sin 38° using a calculator?

    <p>Press sin 38° = 0.615661475</p> Signup and view all the answers

    What is the value of tan A in a right triangle, given that a = 11 cm and ∠A = 63°?

    <p>11/5.60</p> Signup and view all the answers

    What is the measure of ∠A in a right triangle, given that a = 18.5 cm and b = 14.2 cm?

    <p>52°</p> Signup and view all the answers

    What is the value of $cos(120°)$?

    <p>-0.5</p> Signup and view all the answers

    If $c = 125$ is the distance between two ships, and the angle between them is $120°$, what is the value of $a$ in the Law of Cosines formula?

    <p>64</p> Signup and view all the answers

    What is the value of $tan(θ)$ if $sin(θ) = 0.5$ and $cos(θ) = 0.866$?

    <p>0.577</p> Signup and view all the answers

    What is the formula for the cosecant of an angle $θ$?

    <p>1/sin(θ)</p> Signup and view all the answers

    What is the mnemonic used to remember the trigonometric ratios?

    <p>SOH – CAH – TOA</p> Signup and view all the answers

    What is the value of $c$ in the Law of Cosines formula, given $a = 64$, $b = 80$, and $C = 120°$?

    <p>124.96</p> Signup and view all the answers

    What is the measure of ∠A in a triangle with a hypotenuse of length 23 and a leg of length 17?

    <p>42.34°</p> Signup and view all the answers

    If c = 27 and ∠A = 58°, what is the measure of ∠B?

    <p>90° - 58°</p> Signup and view all the answers

    What is the value of cos A if a = 15.49 and c = 23?

    <p>0.7391</p> Signup and view all the answers

    What is the length of the leg adjacent to ∠A in a right triangle with a hypotenuse of length 23 and ∠A = 42.34°?

    <p>15.49</p> Signup and view all the answers

    If a = 15.49 and b = 17, what is the length of the hypotenuse?

    <p>23.00</p> Signup and view all the answers

    What is the measure of ∠A in a triangle with a = 15.49 and b = 17?

    <p>42.34°</p> Signup and view all the answers

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