Question

choose the equation you would use to find the altitude of the airplane.
( \tan 70 ^ { circ } = \frac { x } { 800 } )
( \tan 70 ^ { circ } = \frac { 800 } { x } )
( sin 70 ^ { circ } = \frac { x } { 800 } )

Explanation:

Step1: Recall the tangent function definition

In a right - triangle, the tangent of an angle $\theta$ is defined as $\tan\theta=\frac{\text{opposite}}{\text{adjacent}}$.

Step2: Identify the sides and angle in the problem

The angle $\theta = 70^{\circ}$, the opposite side to the angle is $x$ (altitude of the airplane) and the adjacent side is $800$.
So, $\tan70^{\circ}=\frac{x}{800}$.

Answer:

$\tan70^{\circ}=\frac{x}{800}$