À searchlight is trained on the side of a tall building. As the light rotates, the spot it illuminates moves up and down the side of the building. That is, the distance D between ground level and the illuminated spot on the side of the building is a function of the angle 0 formed by the light beam and the horizontal (see the accompanying figure). If the searchlight is located a = 126m from the building, find the rate at which Dis changing with respect to 6 when 0 = 45' .Express your answer in units of meters/degree. am Round your answer to two decimal places. dD meters/degree OP le45
À searchlight is trained on the side of a tall building. As the light rotates, the spot it illuminates moves up and down the side of the building. That is, the distance D between ground level and the illuminated spot on the side of the building is a function of the angle 0 formed by the light beam and the horizontal (see the accompanying figure). If the searchlight is located a = 126m from the building, find the rate at which Dis changing with respect to 6 when 0 = 45' .Express your answer in units of meters/degree. am Round your answer to two decimal places. dD meters/degree OP le45
Calculus: Early Transcendentals
8th Edition
ISBN:9781285741550
Author:James Stewart
Publisher:James Stewart
Chapter1: Functions And Models
Section: Chapter Questions
Problem 1RCC: (a) What is a function? What are its domain and range? (b) What is the graph of a function? (c) How...
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Transcribed Image Text:A searchlight is trained on the side of a tall building. As the light rotates, the spot it illuminates moves up and down the side of the
building. That is, the distance D between ground level and the illuminated spot on the side of the building is a function of the angle 0
formed by the light beam and the horizontal (see the accompanying figure). If the searchlight is located a = 126 m from the building,
find the rate at which Dis changing with respect to 0 when 0 = 45° .Express your answer in units of meters/degree.
%3D
a m
Round your answer to two decimal places.
dD
%3D
|OP
le-45
meters/degree
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