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?
please answer
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.
To find the shortest distance from the parking lot to the beach, we need to add up the distances from the parking lot to the refreshment stand and from the refreshment stand to the beach.
a. Distance from the parking lot to the beach:
The distance from the parking lot to the refreshment stand is given as 32 meters.
The distance from the refreshment stand to the beach is given as 18 meters.
To find the total distance, we simply add these two distances: 32 + 18 = 50 meters.
Therefore, the spot on the beach is 50 meters away from the parking lot.
b. Distance from the spot on the beach to the refreshment stand:
Since the distance from the refreshment stand to the beach is given as 18 meters, the distance from the beach to the refreshment stand will be the same distance in reverse.
Therefore, the spot on the beach will also be 18 meters away from the refreshment stand.
a. To find the distance from the parking lot to the beach, we simply add the distances: 32 m + 18 m = 50 m. Therefore, the spot on the beach is 50 meters away from the parking lot.
b. Similarly, to find the distance from Jason's place on the beach to the refreshment stand, we subtract the distance between the beach and the refreshment stand from the total distance between the parking lot and the beach: 50 m - 18 m = 32 m. Therefore, Jason's place on the beach will be 32 meters away from the refreshment stand.