The Flagpole In Front Of CB East Cast A Shadow 40 Feet Long When The Measurement Of…

The flagpole in front of CB East cast a shadow 40 feet long when the measurement of the angle of elevation to the sun is 31°.How tall is the flagpole?​

Answer:

20.60152 ft

Step-by-step explanation:

Calculation Steps

The following is one way to perform the calculation. It may not be the best way.


c =  

b

cos(α)

= 46.66534

a = √c2 – b2

= √46.6653358886132 – 402

= √577.65357359709

= 24.03442

∠β = 90° – ∠α

= 59° = 1.02974 rad

area =  

a × b

2

=  

24.034424761102 × 40

2

= 480.6885

perimeter = a + b + c

= 24.034424761102 + 40 + 46.665335888613

= 110.69976

inradius =  

a × b

a + b + c

=  

961.3769904441

110.69976064972

= 8.68454

circumradius =  

c

2

=  

46.665335888613

2

= 23.33267

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