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A statue creates a shadow that is 30 ft long. The angle of elevation of the sun is 50°. 

Draw a diagram that represents this situation. 

How tall is the statue? Round your answer to the nearest tenth of a foot. Show your work. 

 Jan 17, 2019
 #1
avatar+23494 
0

The shadow represents the adjacent leg to the 50 degree angle of a right triangle....

Opposite leg is the HEIGHT of the statue

Tangent 50 = opposite/30

30 tangent 50 = height = tan(50)*30 = 35.8  ft (rounded)

 Jan 17, 2019
 #2
avatar+111357 
+2

Can't draw the diagram.....but

 

tan 50° = height of statue / shadow length

 

tan 50° = height of statue / 30      multiply both sides by 30

 

30 * tan (50°) = height of statue  = 35.8 ft

 

 

cool cool cool

 Jan 17, 2019
 #3
avatar+533 
0

when in doub tuse some calculations and make it on desmos.com

 

lol

 Jan 17, 2019

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