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

Question

3 years ago

10

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

1 answer:

lara31 [8.8K] · Answer 1 · 2022-01-30T16:23:35+03:00

3 RIGHT TRIANGLES

1 big right triangle is divided into 2 smaller ones. Medium and small.

<span> a.How far is the spot on the beach from the parking lot? </span>

Medium triangle: long leg = 32 m ; short leg = x

Small triangle: long leg = x ; short leg = 18m

32/x = x/18

32*18 = x*x

576 = x²

√576 = √x²

24 = x

Parking lot to the beach is 24 meters.

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

Use Pythagorean theorem:

Medium triangle: long leg = 32 m ; short leg = 24 m ; hypotenuse = ?

32²+ 24² = c²

1024 + 576 = c²

1600 = c²

√1600 = √c²

40 m = c

Parking lot to refreshment stand is 40 meters.