To walk the shortest distance from the parking lot to the beach, Jason should walk towards the point where the perpendicular line intersects the beach which is the shortest distance to the beach.
a. To find the spot on the beach from the parking lot, draw a perpendicular line from the beach to the parking lot. This line will pass through the refreshment stand.
Using Pythagorean theorem, we can calculate the distances as:
distance from parking lot to refreshment stand (a) = √(32² + 18²) = 36.56 meters (rounded to two decimal places)
distance from refreshment stand to beach (b) = 18 meters
Therefore, the distance from the parking lot to the spot on the beach where Jason should exit is approximately 36.56 meters.
b. The distance from his place on the beach to the refreshment stand is 32 meters as he has to walk straight towards the refreshment stand.
Jason wants to walk the shortest distance to get from the parking lot to the beach.
Refreshment Stand: 32 m
Beach: 18 m
Parking :Lot
a. How far is the spot on the beach from the parking lot?
b. How far will his place on the beach be from the refreshment stand?
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