15. A summer camp counselor wants to find a length, x, in feet, across a lake as represented in the sketch. Segments AC and DE intersect at B, and ZAEB and 2CDB have the same measure. x feet If EB = 1800 feet, BD = 700 feet and CD = 800 feet, What is the length of the lake represented by x ? B

15. A summer camp counselor wants to find a length, x, in feet, across a lake as represented in the sketch. Segments AC and DE intersect at B, and ZAEB and 2CDB have the same measure. x feet If EB = 1800 feet, BD = 700 feet and CD = 800 feet, What is the length of the lake represented by x ? B

Elementary Geometry For College Students, 7e

7th Edition

ISBN:9781337614085

Author:Alexander, Daniel C.; Koeberlein, Geralyn M.

Publisher:Alexander, Daniel C.; Koeberlein, Geralyn M.

Chapter3: Triangles

Section3.5: Inequalities In A Triangles

Problem 39E

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Question

How would i solve this?

15. A summer camp counselor wants to find a length, x, in feet,
across a lake as represented in the sketch. Segments AC
and DE intersect at B, and ZAEB and 2CDB have the same
measure.
x feet
If EB = 1800 feet, BD = 700 feet and CD = 800 feet,
What is the length of the lake represented by x ?
B
C

Expert Solution

Step 1

Given,

Two $∆ A B E a n d ∆ B D C$

$∠ A E B = ∠ C D B$

$E B = 1800 f e e t; B D = 700 f e e t a n d C D = 800 f e e t$

We have to find the length $x$ .

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