1 Answer

James An · Answer 1 · 2023-12-18T13:47:16+0000

First figure,

With respect to the angle, we have >>>

opposite side (15)

adjacent side (x)

Thus, the ratio of opposite to adjacent is tangent.

Solving for x:

$\begin{gathered} \tan 61=(15)/(x) \\ x\tan 61=15 \\ x=(15)/(\tan 61) \\ x=8.3 \end{gathered}$

With respect to the angle, we have >>>

opposite side (x)

hypotenuse (14)

Thus, the ratio of opposite and hypotenuse is sine.

Solving for x,

$\begin{gathered} \sin 62=(x)/(14) \\ x=14\sin 62 \\ x=12.4 \end{gathered}$