Devora explored a secret cave. 48\text{ m}48 m48, start text, space, m, end text from the entrance, she found an empty chest with a map drawn on it. The map showed treasure buried 95\text{ m}95 m95, start text, space, m, end text from the entrance to the cave. From the treasure, the map showed a 30\degree30°30, degree angle between the chest and the entrance, as shown below. Devora faced the entrance, then turned a certain number of degrees to her left and walked until she got to the treasure.

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.