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