Calculate 64514

In the triangle ABC, a: b = 3:2 and α: β = 2:1. Calculate the ratio a: c.

Correct answer:

r =  6:5

Step-by-step explanation:

r1 = a:b = 3:2 α: β = 2:1 α = 2β sin α : sin β = a:b = 3:2  sin 2β  : sin β = 3:2 = 1.5  sin β  2 sin β cos β = 1.5  2 cos β = 1.5  cos β = 0.75  β=π180°arccos0.7541.4096  α=2 β=2 41.409682.8192  γ=180αβ=18082.819241.409655.7711   r =  sin γsin α = a:c r=sinα/sinγ=sin82.819244218542° /sin55.771133672187° =0.992157/0.826797=1.2=56=151=6:5



Did you find an error or inaccuracy? Feel free to write us. Thank you!







Tips for related online calculators
Need help calculating sum, simplifying, or multiplying fractions? Try our fraction calculator.
Check out our ratio calculator.
Most natural application of trigonometry and trigonometric functions is a calculation of the triangles. Common and less common calculations of different types of triangles offers our triangle calculator. Word trigonometry comes from Greek and literally means triangle calculation.
Try conversion angle units angle degrees, minutes, seconds, radians, grads.

You need to know the following knowledge to solve this word math problem:


 
We encourage you to watch this tutorial video on this math problem: video1

Related math problems and questions: