Question

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?

Answer 1

█ Explanation █

Let's call the missing altitude 'x'. 

✦ 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. 
✦ $Tan(30)= \frac{x}{4.4}$
✦ $5.7735= \frac{x}{4.4}$
✦ $x=4.4*.57735$
✦ $x=4.4*.55735$
✦ $x=2.54 mi$
✦ 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