Answer:
x = 3195 ft
Step-by-step explanation:
Trigonometric Ratios are the ratios between sides and angles for a right triangle:
[tex]\boxed{sin=\frac{opposite}{hypotenuse} }[/tex]
[tex]\boxed{cos=\frac{adjacent}{hypotenuse} }[/tex]
[tex]\boxed{tan=\frac{opposite}{adjacent} }[/tex]
Given:
- angle = 28°
- opposite = 1500 ft
Question: hypotenuse, therefore we use sin to find the answer:
[tex]\displaystyle sin=\frac{opposite}{hypotenuse}[/tex]
[tex]\displaystyle sin(28^o)=\frac{1500}{x}[/tex]
[tex]\displaystyle x=\frac{1500}{sin(28^o)}[/tex]
[tex]\displaystyle=\frac{1500}{0.4695}[/tex]
[tex]=3195\ ft[/tex]
