Molly852SSidn
Answered

Join the IDNLearn.com community and get your questions answered by knowledgeable individuals. Ask anything and receive prompt, well-informed answers from our community of knowledgeable experts.

a. How far is the spot on the beach from the parking lot?

b. How far will he have to walk from the parking lot to get to the refreshment stand?

Show work please.

A How Far Is The Spot On The Beach From The Parking Lot B How Far Will He Have To Walk From The Parking Lot To Get To The Refreshment Stand Show Work Please class=

Sagot :

Jackiezhang2007idn

The altitude of the right triangle is the geometric mean of the 2 parts of the side it separates.

a. The answer would be sqrt(18*32)=24

The question to the second question can be answered by using the Pythagorean theorem.

32^2+24^2=1600=40^2

b. The answer would be sqrt40^2=40

MrRoyalidn

The beach, the parking lot and the refreshment stand are illustrations of similar triangles.

  • The distance between the spot and the parking lot is 24 m
  • The distance between the refreshment stand and the parking lot is 40 m

(a) The distance between the spot and the parking lot

Represent this distance with d.

So, the equivalent ratio is:

[tex]\mathbf{32:d = d : 18}[/tex]

Express as fractions

[tex]\mathbf{\frac {32}d = \frac{d}{ 18}}[/tex]

Cross multiply

[tex]\mathbf{d \times d = 32 \times 18}[/tex]

[tex]\mathbf{d^2 = 576}[/tex]

Take square roots

[tex]\mathbf{d = 24}[/tex]

Hence, the distance between the spot and the parking lot is 24 m

(b) The distance between the refreshment stand and the parking lot

Represent this distance with d.

Using Pythagoras theorem we have:

[tex]\mathbf{d^2 = 32^2 + 24^2}[/tex]

[tex]\mathbf{d^2 = 1600}[/tex]

Take square roots

[tex]\mathbf{d = 40}[/tex]

Hence, the distance between the refreshment stand and the parking lot is 40 m

Read more about similar triangles at:

https://brainly.com/question/14926756

Your engagement is important to us. Keep sharing your knowledge and experiences. Let's create a learning environment that is both enjoyable and beneficial. For trustworthy answers, visit IDNLearn.com. Thank you for your visit, and see you next time for more reliable solutions.