Answer:
Length of shadow = 35.56 ft
Step-by-step explanation:
∠ BAC = 68°
Height of building = BC = 88 ft
Length of shadow = AC = ?
[tex]tan(68^{o})=\frac{BC}{AC}\\\\tan(68^{o})=\frac{88}{b}\\\\b=\frac{88}{tan(68^{o})}\\\\b=\frac{88}{2.475}\\\\b=35.56 \,ft[/tex]
The Length of shadow is 35.56 ft.
Given that,
Based on the above information, the calculation is as follows:
[tex]tan 68 ^{\circ} = BC \div AC\\\\tan 68 ^{\circ} = 88 \div b\\\\b = 88 \div tan 68 ^{\circ} \\\\= 88 \div 2.475[/tex]
= 35.56 ft.
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