posted by .

I have no idea how to do this

Find the value of the angle theta in degrees rounded to the neartest tenth of a degree.

I have no idea were to start...

h t t p : / / i m g 6 . i m a g e s h a c k . u s / i m g 6 / 5 8 9 9 / a d s f a s d f a s d f a d s f s a d f . j p g

the circles go to the top and there measurements i included in the pictures and there are right angles

if you don\'t understand the problem i tried to draw it in paint

Are you sure the 2 circles don't touch ?

If the do, it is an easy problem.
draw a line from the vertex through the two centres.
Let the distance between the vertex and the centre of the smaller circle be x
then the distance from the vertex to the centre of the larger circle is x+6

sin (theta/2) = 2/x
sin (theta/2) = 4/(x+6)
then 2/x = 4/(x+6)
which solves for x=6

then sin (theta/2) = 2/6
theta/2 = 19.47º
theta = 38.942º or 38.9º to the nearest tenth.

## Similar Questions

1. ### trig

Give the measure of the acute angle with each given value to the nearest tenth of a degree. cos A = 0.1 (84.3 degrees) sec D = 1.8 (65.3 degrees) That is all it gives :( How would I go about solving this?
2. ### trig

I don't understand how to do this type of question?
3. ### trig 30

If cos^2 theta -6 sin 2 theta =0, one value of theta is a)0 degrees b) 90 degrees c)180 degrees or D)255 degrees. Please show me how to do it and not just give answer cause I have two more questions that are similar. Thanks so much.
4. ### math

Find the value of the angle data in degrees rounded to the nearest tenth of a degree.
5. ### Trig

1. Establish the identity: sin(theta+3pi/2)=-cos(theta) 2. Find the exact value of 2(theta) if sin(theta)=5/13 3. Show that: csc2(theta)-cot2(theta)=tan(theta) 4. Find the exact value of tan(cos^-1(square root of 3/2) 5. Approximate …
6. ### math:)

If the given point is on the terminal arm of an angle A in standard position, angle A is greater than or equal to 0 degrees and it is less than or equal to 180 degrees, find the measure of angle A, to the nearest tenth of a degree. …
7. ### trig

Solve sin θ = -0.204 for 90º < θ < 270º. Give your answer to the nearest tenth of a degree. Honestly have no idea how to do this.
8. ### trig

If sin theta is equal to 5/13 and theta is an angle in quadrant II find the value of cos theta, sec theta, tan theta, csc theta, cot theta.
9. ### trig

Find csc(theta), tan (theta), and cos (theta), where theta is the angle shown in the figure. Give exact values, not decimal approximations c=10 b=7 a=7.14 the right angle is locate between sides a and b and the theta angle is an acutle …
10. ### Trig

I need help setting these up. 1.) Use the parallelogram rule to find the magnitude of the resultant force for the two forces shown in the figure. round to one decimal place. Theta= 35 degree, b=98 lbs, c=55lb 2.) Find the magnitude …

More Similar Questions