Question

An airplane rises at an angle of 15.8 with the ground. Find thediagonal distance it has flown when it has covered a horizontal distanceof 1500 feet.

Answer 1

1558.9 feet.

Step-by-step explanation:

We can model the situation as follows:

Where we want to know the distance x and we know the angle of 15.8° and the horizontal distance of 1500 ft.

Therefore, we can relate these values as follows:

`\cos 15.8=(1500)/(x)`

So, solving for x, we get:

`\begin{gathered} x=(1500)/(\cos 15.8) \\ x=(1500)/(0.962) \\ x=1558.9 \end{gathered}`

Then, the answer is 1558.9 feet.