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)= (x)/(4.4)`
✦
`5.7735= (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