A right triangle has base a meters and height h meters, where h is constant and a changes with respect to time t, measured in seconds. The ar the rate of change of with measured in radians, is defined by tan 0= . Which of the following best describes the relationship between to time, and the rate of change of a with respect to time? (²) radians per second (B) (С A D dt de dt do dt de dt = = x²+h² -h I√²+h² x²+h² radians per second dx dt da dt radians per second radians per second dt'

Algebra & Trigonometry with Analytic Geometry
13th Edition
ISBN:9781133382119
Author:Swokowski
Publisher:Swokowski
Chapter6: The Trigonometric Functions
Section6.1: Angles
Problem 48E
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A right triangle has base x meters and height h meters, where h is constant and a changes with respect to time t, measured in seconds. The angle 0,
the rate of change of with
0 respect
measured in radians, is defined by tan 0 = h. Which of the following best describes the relationship between
of the following best
Which
describes the
relationship between
dt
X
to time, and the rate of change of a with respect to time?
A
B
D
-h
dx
de = (-²) da radians per second
:)
dt
x²+h²
dt
da
dt
de
dt
de
dt
de
dt
=
||
||
h
dx
x²+h² dt
-h
√√x² +h²
(=
h
x√√√x² +h²
radians per second
da
dt
da
dt
radians
per second
radians per second
Transcribed Image Text:A right triangle has base x meters and height h meters, where h is constant and a changes with respect to time t, measured in seconds. The angle 0, the rate of change of with 0 respect measured in radians, is defined by tan 0 = h. Which of the following best describes the relationship between of the following best Which describes the relationship between dt X to time, and the rate of change of a with respect to time? A B D -h dx de = (-²) da radians per second :) dt x²+h² dt da dt de dt de dt de dt = || || h dx x²+h² dt -h √√x² +h² (= h x√√√x² +h² radians per second da dt da dt radians per second radians per second
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