_7. A person at one end of a 230-foot bridge spots the river's edge directly below the opposite end of the bridge and finds the angle of depression to be 57°. How far below the bridge is the river? 230

_7. A person at one end of a 230-foot bridge spots the river's edge directly below the opposite end of the bridge and finds the angle of depression to be 57°. How far below the bridge is the river? 230

Elementary Geometry For College Students, 7e

7th Edition

ISBN:9781337614085

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

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

ChapterP: Preliminary Concepts

SectionP.CT: Test

Problem 1CT

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Question

Draw a picture with a trig ratio equation please show work

_7. A person at one end of a 230-foot
bridge spots the river's edge directly below the
opposite end of the bridge and finds the angle
of depression to be 57°. How far below the
bridge is the river?
230

Expert Solution

Step 1

The person is at the point $A$ .

Bridge = $A B = 230$ foot

The angle of depression = $m ∠ A = 57 °$

We have to find the length of $B C$ .

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