Mr. grimm is trying to build a playground set in his backyard. part of the playground set will have a slide. the ladder is 5 feet tall, and the slide is 7 feet long. what is the distance between the ladder and the bottom of the slide? round your answer to the nearest tenth.

4.9 ft

Step-by-step explanation:

The Pythagorean Theorem tells us that the sum of the square of each leg in a right triangle is equal to the square of the hypotenuse. It can be written as:

Where

The picture of the problem is attached.

Now, using pythagorean theorem, we can write (letting the distance from base of ladder to base of slide be ):

Now solving for :

Hence, the distance between the ladder and the bottom of the slide is 4.9 ft (rounded to the nearest tenth)

∠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.

the equation cos(35) =a/25 can be used to find the length of bc what is the length of bc? round to the nearest tenth

step-by-step explanation: