Suppose you live 4.4 miles from a hill. From your home you see a plane directly above the hill. Your angle of elevation to the plane is 30°. What is the plane’s altitude?
✦ To find the plane's altitude, find the tan of 30 degrees. The side opposite is going to be x, while the side adjacent is going to be 4.4 miles. ✦ [tex]Tan(30)= \frac{x}{4.4} [/tex] ✦ [tex] 5.7735= \frac{x}{4.4} [/tex] ✦ [tex]x=4.4*.57735[/tex] ✦ [tex]x=4.4*.55735[/tex] ✦ [tex]x=2.54 mi[/tex] ✦ We usually write altitude in feet.
Answer: 2.54 * 5280 ~ 13,400 ft
Hope that helps! ★ If you have further questions about this question or need more help, feel free to comment below or leave me a PM. -UnicornFudge aka Nadia
