Trigonometry

posted by .

Given triangle ABC with gamma = 61.0°, Beta = 29.0°, and b = 20.5, find the value of a.
A. 9.94
B. 11.4
C. 42.3
D. 37.0

  • Trigonometry -

    Assuming angles α, β and γ are opposite to sides a, b and c respectively.
    β=29°, γ=61°
    => α=180-(29+61)=90°

    Since b and β are known, and both α and β are not obtuse, we can use the sine rule.
    a/sin(α)=b/sin(β)
    =>
    a=b sin(α)/sin(β)

Respond to this Question

First Name
School Subject
Your Answer

Similar Questions

  1. Bio

    of the following, the best conclusion concerning the difference between the S phases for beta and gamma is that: a. gamma contains more DNA than beta b. beta and gamma contains the same amout of DNA c. beta contains more RNA than gamma …
  2. physics

    Find Beta and Gamma for an electron that has a kinetic energy of 6.00 keV. â?
  3. physics please help

    Find Beta and Gamma for an electron that has a kinetic energy of 6.00 keV. gamma = KE/MoC^2 + 1 Beta = 1/gamma^2 + 1 gamma = 1.011723381 Beta = 1.9769592 I am getting gamma right but I am getting Beta wrong what I'm I doing wrong?
  4. maths

    alpha beta gamma are zeros of cubic polynomial x^3-12x^2+44x+c. if alpha beta gamma are in Ap find the value of c class 10
  5. Physics: Formulas

    the momnetum of a gamma photon is determined by the equation p=h/lambda. for the decay of iodine-131 the relationship between the magnitude of the momentum of the gamma ray photon and the mangnitude of the momentum of the beta particle …
  6. Trigonometry

    Given triangle ABC with a = 16, b = 14, and Beta = 54°, find the value of c. A. 3.1 and 20 B. 4.1 and 15 C. 15 D. 3.1
  7. trigonometry

    1. What is the area of triangle ABC if a = 47.0°, β = 57.8°, and a = 10.2 cm?
  8. Trigonometry

    1. What is the area of triangle ABC if a = 47.0°, β = 57.8°, and a = 10.2 cm?
  9. Trigonometry

    1. What is the area of triangle ABC if a = 47.0°, β = 57.8°, and a = 10.2 cm?
  10. Trigonometry

    Three oil platforms, Alpha, Beta and Gamma are situated in the North Sea.Beta is 12 km from Alpha and is on a bearing of 145 degrees from Alpha.Gamma is 16 km from Alpha and is on a bearing of 220 degrees from Alpha.Find the distance …

More Similar Questions