15 ! solve the problem. type the number in the box that correctly completes the sentence.

nimrod wanted to build a tower three miles high. he wants to know how far would it be from the top of his tower to a point four miles away from the base of the tower. the distance would be answer
miles.

5 Miles

Step-by-step explanation:

Given, Height of the tower is 3 miles and the distance from the base is 4 miles.

According the Pythagoras Theorem, the square of the length of the hypotenuse is equal to the sum of squares of the lengths of other two sides of the right-angled triangle.

So, putting the data in Pythagoras theorem, let's consider A= 3 and B= 4.

So C will be,  

sqrt(A^2 + B^2 )= C

Or, sqrt( 3^2+ 4^2)= C

Or, sqrt( 9+ 16) = C

Or, sqrt(25) = C

Hence, C = 5

So, The distance would be 5 Miles.

∠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.

answer: 1+1

step-by-step explanation: 1+1 is at least 2