lines cd and de are tangent to circle a shown below:

lines cd and de are tangent to circle a and intersect at point d. arc ce measures 98 degrees. point b lies on circle a.

if arc ce is 98°, what is the measure of ∠cde?

56°
49°
131°
82°

82°

Step-by-step explanation:

whenever a line is tangent to a circle, the line segment you can draw from the center to the tangent line on the circumference is always perpendicular, so angle ACD is 90° and angle AED is 90° and we already know CAE is 98° so adding the tree would result in 278° because ACDE forms a quadrilateral it's angle have a sum of 360° so subtract 278 from 360 and you get 82°

answer:  

step-by-step explanation:

here x represents the height of the pole,

and, the height of the shadow of the pole is 12 feet.

also, the angle of elevation from the top of the pole is 40°,

therefore,

by the low of sine,

which is the required equation for finding the value of x,

9x