Answer :

Answer:

height of sign = 5 feet

Step-by-step explanation:

Using the sine ratio in the right triangle and the exact value

• sin30° = [tex]\frac{1}{2}[/tex]

let the height of the sign be h , then

sin30° = [tex]\frac{opposite}{hypotenuse}[/tex] = [tex]\frac{h}{10}[/tex] = [tex]\frac{1}{2}[/tex] ( cross multiply )

2h = 10 ( divide both sides by 2 )

h = 5

The height of the beach sign is 5 feet

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