Two stakes are holding a small blimp in place. Stake A measures an angle of elevation of 49° and Stake B measures an angle of

elevation of 58º. If the string attached to Stake A has a length of

148 feet, what is the length of the string attached to Stake B?

131.7 ft

Step-by-step explanation: use 148 as side measure b, then solve for measure of side a

with two given angles and one given side, use law of sines.

a = b•sin(A)/sin(B) = 131.71071

c = b•sin(C)/sin(B) = 166.89278

if you want to find angle measures:

180-A-B

180-49-58=73

C=73

step-by-step explanation:

∠1≅∠2 by the alternate exterior angles theorem.

step-by-step explanation:

given, a ∥ b and ∠1 ≅ ∠3 .we have to prove that e ∥ f

we know that ∠1≅∠3 and that a || b because they are given. we see that by the alternate exterior angles theorem. therefore, ∠2≅∠3 by the transitive property. so, we can conclude that e || f by the converse alternate exterior angles theorem.

we have to fill the missing statement.

transitivity property states that if a = b and b = c, then a = c.

now, given ∠1≅∠3 and by transitivity property ∠2≅∠3 .

hence, to apply transitivity property one angle must be common which is not in result after applying this property which is ∠1.

the only options in which ∠1 is present are ∠1 and ∠2, ∠1 and ∠4

∠1 and ∠4 is not possible ∵ after applying transitivity we didn't get ∠4.

hence, the missing statement is ∠1≅∠2.

so, ∠1≅∠2 by the alternate exterior angles theorem.