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Sagot :
Answer:
32.33 feet
Step-by-step explanation:
In relation to the 60° angle the ladder makes with the ground, the only relevant information we need is that the height from the bottom of the wall to the electric box is 28 feet, which is our opposite side, and we are to find the length of the ladder, which is our hypotenuse. So, we use the sine function.
[tex]sin\theta=\frac{opposite}{hypotenuse}[/tex]
[tex]sin60^\circ=\frac{28}{x}[/tex]
[tex]xsin60^\circ=28[/tex]
[tex]x=\frac{28}{sin60^\circ}[/tex]
[tex]x=\frac{28}{(\frac{\sqrt{3}}{2})}[/tex]
[tex]x=\frac{56\sqrt{3}}{3}[/tex] <-- Exact Answer
[tex]x\approx32.33[/tex] <-- Approximate Answer
Therefore, the length of the ladder is about 32.33 feet.
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