Corey is 66 inches tall. at noon, corey casts a shadow 108 inches long. at the same time, a tree casts a shadow 216 inches long. the right triangle formed by corey and his shadow is similar to the right triangle formed by the tree and its shadow. how tall is the tree?

d. it is a convex pentagon because it has five sides and none of the sides would extend into the inside of the polygon.

step-by-step explanation:

c. 27 units.

step-by-step explanation:

we are told that in circle a, ∠bae ≅ ∠dae.

we can see from our given diagram that in and ;

, as these are radii of our given circle.

therefore, by sas congruence postulate.

hence, side be will be equal to side de as corresponding parts of congruent triangles are congruent. so we can set an equation to find the value of x as:

now let us substitute x=17 in the expression for the length of be.

therefore, length of be will be 27 units and option c is the correct choice.