Answer:
19.72 ft
Step-by-step explanation:
The mnemonic SOH CAH TOA reminds you of the relation between angles and sides of a right triangle:
Tan = Opposite/Adjacent
Then the relations in the attached drawing are ...
tan(α) = 42/73
tan(α +10.3°) = (42 +SH)/73
Solving the first equation for α, we get ...
α = arctan(42/73)
Solving the second equation for SH, we get ...
73 tan(α +10.3°) = 42 +SH
SH = 73·tan(arctan(42/73) +10.3°) -42 = 73·tan(29.91°+10.3°) -42
SH = 73·0.84547 -42 = 19.720 . . . . feet
The height of the statue is about 19.72 feet.
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