A UFO is spotted between two towns. The angle of elevation from Town A to the UFO is 32 degrees and the angle of elevation from Town B to the UFO is 27 degrees. If the towns are 21km apart, how far was each town from the UFO?

the first one

step-by-step explanation:

just id the test.

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.