120 m The lighthouse has a light at the top that rotates. As the light rotates, the beam falls on a different por- tion of the cliffs. a. Write an expression that relates the angle, e, to the distance, d, of the light along the beach. b. The light makes a full rotation ev- ery 8 seconds. Write an expression that relates the time, t, to the dis- tance, d. c. Use your equation in part b to find the position, d, at each of the times in the table. d. What do you notice about how the distance changes? What does the distance at 2 seconds mean?

Algebra & Trigonometry with Analytic Geometry
13th Edition
ISBN:9781133382119
Author:Swokowski
Publisher:Swokowski
Chapter6: The Trigonometric Functions
Section6.1: Angles
Problem 3E
Question
120 m
The lighthouse has a light at the top
that rotates. As the light rotates,
the beam falls on a different por-
tion of the cliffs.
a. Write an expression that relates
the angle, e, to the distance, d, of
the light along the beach.
b. The light makes a full rotation ev-
ery 8 seconds. Write an expression
that relates the time, t, to the dis-
tance, d.
c. Use your equation in part b to
find the position, d, at each of the
times in the table.
d. What do you notice about how
the distance changes? What does
the distance at 2 seconds mean?
Transcribed Image Text:120 m The lighthouse has a light at the top that rotates. As the light rotates, the beam falls on a different por- tion of the cliffs. a. Write an expression that relates the angle, e, to the distance, d, of the light along the beach. b. The light makes a full rotation ev- ery 8 seconds. Write an expression that relates the time, t, to the dis- tance, d. c. Use your equation in part b to find the position, d, at each of the times in the table. d. What do you notice about how the distance changes? What does the distance at 2 seconds mean?
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