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i dont understand how to do this help please

0 votes

A 90-ft pole casts a shadow as shown in the figure.

   
   
(a) Express the angle of elevation θ of the sun as a function of the length s of the shadow.
θ =


(b) Find the angle θ of elevation of the sun when the shadow is 35 ft long. (Round your answer to one decimal place.)
θ =

 

asked Feb 11, 2016 in CALCULUS by anonymous

Please provide the figure.

1 Answer

0 votes

Step 1:

(a)

The angle of elevation is the angle between the horizontal and the line from the object to the observer's eye.

The height of the pole is 90 ft.

Let the length of the shadow be image ft.

Draw the diagram of the situation:

image

image

image

Angle of elevation is image

Step 2:

(b)

The length of the shadow is 35 ft.

From (a): Angle of elevation is image

image

Angle of elevation is image.

Solution:

(a) Angle of elevation is image

(b) Angle of elevation is image.

answered Feb 12, 2016 by Lucy Mentor
edited Feb 12, 2016 by Lucy

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