SOLUTION: To find the distance between AB across the pond one student suggest picking any point c, connecting with B, and then finding point D such as angle DCB is congruent to ACB and DC is

Question 234565: To find the distance between AB across the pond one student suggest picking any point c, connecting with B, and then finding point D such as angle DCB is congruent to ACB and DC is congruent to AC. How and why does this help find the distance AB?
Answer by nyc_function(2741) (Show Source): You can put this solution on YOUR website!
The connection and angles and points as described in the word problem create two right triangles.
At point D, two 90-degree angles are formed.
Using the Pythagorean Theorem, we can find the distance from A to D.
Once we know this information, we can then proceed to find B to D.
Moving along the straight path from A to D to B, we complete the distance of the pond.

RELATED QUESTIONS
Solve the following practical application. Provide a systematic solution with... (answered by Edwin McCravy)

To determine the width of a pond, a surveyor locates two stakes at either end of the pond (answered by stanbon)

Call Betty as B, Isabel as I and so on. Draw a horizontal straight line and mark any... (answered by psbhowmick)

Please help to show the work. Find the distance between the points and the midpoint... (answered by checkley71)

To determine the distance between two points on opposite sides of a pond, a surveyor... (answered by Theo)

A surveyor has poles A, B, and C set to form a right triangle with the right angle at B.... (answered by solver91311)

Given: The point A(x0, y0, z0) lies outside a plane Q with equation ax+by+cz+d=0. The... (answered by venugopalramana)

The Boy Scouts of America have a method for measuring the distance across a stream: 1.... (answered by greenestamps)

A treasure is located at a point along a straight road with towns A, B, C and D on it in... (answered by venugopalramana)