Question

7. Jason wants to walk the shortest distance to get from the parking lot to the beach.

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?
I got A (24 meters) but I need help with B. (will post picture in the comments)

Answer 1

@Directrix

Answer 2

How I got A:
a)
Let x denote the distance (in meters) from the parking lot to the beach. The line segment whose length this is divides the large right triangle into two smaller triangles that are similar (and both are similar to the large right triangle). Hence,

x/18 = 32/x
x² = 576
x = 24 (meters)

Answer 3

FInd the area of the beach and the parking lot and refreshment stand then simplify i think i'm not sure

Answer 4

@BookWorm030 you there?

Answer 5

Yeah I'm here.

Answer 6

oh ok find the area of the beach parking lot and refreshment stand then simplify i'm not sure

Answer 7

i hope this helped

Answer 8

It might but that doesn't sound right to me.

Answer 9

@BookWorm030

To get the answer to part A, I use this theorem:

Theorem: If the altitude is drawn to the hypotenuse of a right triangle, the length of the altitude is the geometric mean between the lengths of the segments of the hypotenuse.

Answer 10

Applying the theorem to get the shortest distance from the parking lot to the beach,

32/x = x/ 18

That gives x = 24 which is what I think you got.

Yes, it is.

Answer 11

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