Question

A plane rises from take-off andflies at an angle of 18with thehorizontal runway. When it hasgained 200 feet, find thedistance that the plane hasflown.

Answer 1

647 ft

Step-by-step explanation:

Given the below figure;

To determine the value c, we have to take the sine of angle 18 degrees as seen below;

`\begin{gathered} \sin18=\frac{opposit\text{e side to angle 18}}{hypotenuse\text{ to angle 18}}=(200)/(c) \\ \sin18=(200)/(c) \end{gathered}`

Let's cross multiply;

`c*\sin18=200`

Let's divide both sides by sin 18;

`\begin{gathered} (c*\sin18)/(\sin18)=(200)/(\sin18) \\ c=(200)/(\sin18) \\ c=647ft \end{gathered}`

So the distance the plane has flown is 647 ft