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

Mathematics For Machine Technology
8th Edition
ISBN:9781337798310
Author:Peterson, John.
Publisher:Peterson, John.
Chapter21: Direct And Inverse Proportions
Section: Chapter Questions
Problem 7A: A plug gage tapers 3.10 mm along a 38.00 mm length, as shown in Figure 215. Set up a proportion and...
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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
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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