Question

Look at the figure.

The figure shows two right angle triangles have a common side AC. Triangle ABC has length of BA equal to 5 centimeters, the measure of angle ABC is 90 degrees and the measure of angle BAC is x degrees. Triangle ACD is a right triangle with angle DAC equal to 90 degrees, angle ACD equal to y degrees and AD equal to 10 centimeters.

Based on the figure, which equation is true?
Answer

2 sin x° = tan y°

2 sin x° = cos y°

2 tan x° = sin y°

2 cos x° = tan y°

Answer 1

sinx =5/10 = 1/2
tan y = 10/10 =1
2 sin x =tan y

Answer 2

2cosx=tany

Answer 3

yes it should be cos x

Answer 4

\[BC = 5\sqrt{3}\]
\[\sin x=\frac{\sqrt{3}}{2}\]
\[2\sin x=\sqrt{3}\]

Answer 5

\[2\cos x=2(\frac{1}{2})=1=\tan y\]