Question

Mr. Grayson owns a wood company that sells trees. Mr. Grayson gets a request from a customer to buy a palm tree of a specific height. Mr. Grayson’s tree nursery is very large and is organized by a coordinate plane map system. He finds a palm tree that he thinks might meet the customer’s specifications. The tree is located at coordinates (35, 28). He calls his assistant to come over to help him determine the height of the tree. He asks his assistant where she’s located. His assistant says she is located at (70, 15). Each unit on the coordinate grid represents 1 ft. How far is Mr. Grayson’s assistant from the tree? Round to the nearest tenth. Show your work. Pls and Thank you <3

Answer 1

distanc formula
the distance betwen points (x1,y1) and (x2,y2) is
D=
`\sqrt{(x2-x1)^(2)+(y2-y1)^(2)}`

so
distance betwen him and assistant is
distance between (35,28) and (70,15)

D=
`\sqrt{(70-35)^(2)+(15-28)^(2)}`
D=
`\sqrt{(35)^(2)+(-13)^(2)}`
D=
`√(1225+169)`
D=
`√(1394)`
D=37.3363

about 37.3 feet away