menu
bartleby
search
close search
Hit Return to see all results

A man is in a boat 2 miles from the nearest point on the coast. He is to go to point Q, located 3 miles down the coastand 1 mile inland (see figure). He can row at a rate of 1 mile per hour and walk at 1 miles per hour. Toward what point onthe coast should he row in order to reach point Q in the least time? (Round your answer to two decimal places.)mile(s) down the coast

Question

A man is in a boat 2 miles from the nearest point on the coast. He is to go to point Q, located 3 miles down the coast and 1 mile inland (see figure). He can row at a rate of 1 mile per hour and walk at 1 miles per hour. Toward what point on the coast should he row in order to reach point Q in the least time? (Round your answer to two decimal places.)

Same problem also attached. Thanks,

A man is in a boat 2 miles from the nearest point on the coast. He is to go to point Q, located 3 miles down the coast
and 1 mile inland (see figure). He can row at a rate of 1 mile per hour and walk at 1 miles per hour. Toward what point on
the coast should he row in order to reach point Q in the least time? (Round your answer to two decimal places.)
mile(s) down the coast
help_outline

Image Transcriptionclose

A man is in a boat 2 miles from the nearest point on the coast. He is to go to point Q, located 3 miles down the coast and 1 mile inland (see figure). He can row at a rate of 1 mile per hour and walk at 1 miles per hour. Toward what point on the coast should he row in order to reach point Q in the least time? (Round your answer to two decimal places.) mile(s) down the coast

fullscreen
check_circleAnswer
Step 1

Let P be the position of the boat in coast and let O be the point between coast and land.

 

The current situation can be represented as follows.

fullscreen
Step 2

By the Pythagoras theorem the distance PO computed as follows.

fullscreen
Step 3

By the Pythagoras theorem the distance ...

fullscreen

Want to see the full answer?

See Solution

Check out a sample Q&A here.

Want to see this answer and more?

Our solutions are written by experts, many with advanced degrees, and available 24/7

See Solution
Tagged in

Math

Calculus

Other

Related Calculus Q&A

Find answers to questions asked by student like you

Show more Q&A add

Sorry about that. What wasn’t helpful?