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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